a. A jump NEVER has a limit A jump on a graph is a point in the graph where the graphed line is no longer continuous; therefore there is no limit. To explain further I will explain in terms of an actual graph. On a graph a jump is a point where a continuous line suddenly stops and begins again on a different level. There cannot be a limit because the graph does not continue on. When a graph continues as a single continuous line there is one number the graph is headed toward as (X) approaches a specified number but with a jump there are two portions of the graph therefore there are two numbers the graph is headed toward as (x) approaches a specific number. When there are two numbers a graph heads toward as (X) approaches a specified number we know that the limit does not exist.
b. An asymptote (infinite) might have a limit An infinite asymptote is a line on a graph which continues on indefinitely. Because the line never reaches the number (X) is approaching the limit is defined as –infinity or +infinity. Because any form of infinity is not truly defined as a number the limit of an infinite asymptote is truly undefined. However, because the limit does exist but is undefined we give the limit a name of positive infinity or negative infinity.
c. A removable ALWAYS has a limit A removable always has a limit because a removable is a point on the graph where (x) approaching a specified number has reached the number specified. The y value of the point where (X) reached the number it was approaching is the limit.
a. A jump NEVER has a limit A jump is a break in the graph. At the point of the jump, there are 2 y-values, therefore there cannot be a limit because a limit is a y-value.
b. An asymptote (infinite) might have a limit At an asymptote you must look at each side to determine if there is a limit. You know that with the asymptote, the sides will approach either infinity or negative infinity. If the right and left sides of the specified x-value are alike, then the limit is that number. If the left and right sides are different there is no limit.
c. A removable ALWAYS has a limit A removable is the one form of discontinuity where there is always a limit. At this point there is only one y-value and that is your limit. Not much to it.
a) A jump NEVER has a limit: A jump never has a limit because it is undefined (or DNE). To have a limit, both the left and right side must be the same, but with a jump, that is never the case. The left side will never match the right in a jump because that is what defines a jump. So if you have a jump on a graph, your limit will always be DNE (does not exist.)
b) An asymptote might have a limit: A vertical asymptote on a graph can have one of three of the following as a limit: infinity, negative infinity, or DNE. This means that it will only have a limit some of the time. In order for it to have a limit, both sides need to match, either both being infinity or both being negative infinity. Sometimes, however, one side’s limit is infinity while the other is negative infinite, and since the two sides don’t match, the overall limit is DNE.
c) A removable ALWAYS has a limit: A removable is when there is a hole in the graph. With a removable, it is guaranteed that both sides will match, implying that there is a limit, because you treat a removable as if it were any other ordinary point on the graph. It is not an asymptote or a jump and both sides are the same. So, a removable always has a limit.
a) A jump NEVER has a limit. What this means is that there is a "jump" or break in the graph, therefore being a discontinuity. Also, the two sides of the jump will never match, therefore the limit would have to not exist (DNE).
b) An asymptote (infinite) might have a limit. This is true for vertical asymptotes mostly. You have to look at both sides of the graph to determine if there is a limit. If they both approach infinity, then the limit is infinity. If they both approach negative infinity, then the limit is negative infinity. However, if one approaches infinity and the other approaches negative infinity, then the limit does not exist (DNE).
c) A removable ALWAYS has a limit. What this means is that there is a hole in the middle of the graph, and the two side are always the same. There is only one y-value so that is the limit.
a.) A jump NEVER has a limit: First of all, a jump is a type of discontinuity found on a graph. It's basically a break in the graph, or in other words, it means that say if you were drawing the graph on paper you would have to pick up your pencil to finish drawing it. Therefore, it is not continuous. There is no limit at a jump because at that specific point there is usually more than one y-value. A limit is defined as a y-value the graph is approaching, (meaning 1 y-value) and also the sides of the graph will never match.
b.) An asymptote (infinite) might have a limit: An asymptote is an imaginary line on a graph. It can either go to infinity or negative infinity, but if it happens to approach both, then the limit would not exist. An asymptote will have a limit if there is only one asymptote, or if there is more than one and they match. For example, if both asymptotes were approaching negative infinity, the limit would be negative infinity. However, if one asymptote was approaching negative infinity and the other positive infinity, the limit would not exist because the values don't match up.
c.) A removable ALWAYS has a limit: Well first, a removable is a discontinuity where there is a "hole" in the graph. It differs from the other discontinuities in that it will always have a limit because no matter where the hole is, both sides of the graph are always equal to each other. And even though it is a "hole", it acts as though it's a regular point because it exists on the graph itself. So therefore, a y-value with a removable will have a limit.
a.) a jump NEVER has a limit a jump, in calculus can define itself. basically its a spot on the graph where the line ends, making it a type of discontinuity. usually there are 2 different y values at a jump and a limit can only be a single y value
b.) an asymptote (infinite) might have a limit an asymptote is an imaginary line on the graph. in order for an asymptote to have a limit, both lines have to approach the same number: infinity or negative infinity if they do not, then the limit is DNE
c.) a removable ALWAYS has a limit a removable is also known as a hole in the graph, and both sides of the graph are still identical, as well as 1 y value, so it will always have a limit
FIRST I WOULD LIKE TO SAY THAT A LIMIT IS A Y-VALUE, SINGULAR, ONE, THAT THE GRAPH IS APPROACHING.
a.) a jump NEVER has a limit
-a jump, as the name describes, is a jump on a graph. The graph literally jumps from one interval to another. The graph will stop and appear either below or above where it had stopped. There is no limit at a jump because wherever the graph breaks, there is more than one y-value.
b.) an asymptote (infinite) might have a limit
-an asymptote extends on forever but in accordance with a graph in calculus, both sides of the graph must approach either infinity or negative infinity or the asymptote does not exist (DNE).
c.) a removable ALWAYS has a limit
-a removable is a HOLE IN THE GRAPH. It is a discontinuity. It is different from the other discontinuities in that it will always have a limit because no matter where the hole is, both sides of the graph are always equal to each other. Even though it is a "hole", it acts like a regular point because it exists on the graph itself. Therefore, a y-value with a removable will have a limit
A) A jump NEVER has a limit! in calculus, a jump is defined as a spot on a graph where a line ends, forming a discontinuity. a jump has usually has 2 y values, and a limit only has 1
B)an asymptote (infinite) might have a limit. if an asymptote is to have a limit, both lines must move towards the same number; infinity or negative infitity (if not the limit is DNE)
C)a removable ALWAYS has a limit! a removable in other words is just a hole in the graph; both sides of the graph are the same, and there is one y value, therefore, it will always have a limit
1) a jump never has a limit. This is because that the graphs on either side of the x-value are approaching different y-values.
2) an asymptote sometimes has a limit. An asymptote is a graph that is constantly getting closer to a line but never touches it and it can approach either infinity or negative infinity. If there are asymptotes on either side of an x-value and those asymptotes are approaching both infinity and negative infinity then the limit does not exist.
3) a removable always has a limit. If a graph has a removable then it has a single point on an otherwise continuous graph that the y-value comes out to be undefined. This point's x-value still has a limit as both the right and left side of the x-value are still approaching the same y-value.
1) A jump never has a limit. It approaches one point from one side, and stops before it goes to the other side of the x-coordinate. After it does that, then it goes to a different y-coordinate on the same x-coordinate. It's kind of like when you take one half of a line, and push it either up or down in a vertical direction. But the two ends of the line don't connect at the x-coordinate. They just leave a big gap, or "jump" if you will, hence the name JUMP.
2) Asymptotes are kind of like the opposite of the roads found in places like Germany. Most asymptotes have no limit, but there are very few asymptotes with limits. That analogy of the roads in Germany is effective if you switch the factor of asymptotes which have limits (regular roads in Germany) and asymptotes that have a limit (The Autobahn in Germany). Mainly the number of each of them found is semi-related and whatnot.
3) Removables may not look like they have a limit, but believe you me, they've got a damn-easy-to-find limit. When finding a limit of a removable, it's like looking for a sniper bullet's hole in a cardboard box. Where you see an open hole on the graph is where the removable, and most of the time the limit, is located, just like a bullet hole in cardboard. The precision on the shot being aimed at the limit of the graph must be precise for this to occur.
a. a jump never has a limit This means for if there is a jump then the graph is not continuous. The two sides of the graph do not match. Both sides of the graph were not approaching the same thing.
b. an asymptote (infinite) might have a limit All asymptote limits are either positive or negative infinity. But the sides of the graph might not match, because the two sides may not be approaching the same thing. One side might be approaching positive infinity, while the other side might be approaching negative infinity.
c. A removable ALWAYS has a limit Removables are holes in the graph. They are on the the coordinate plane but not on the graph. They do have a y-value becasue the do exist on the plane. But they are not apart of the graph. Graphs with removables are not continuous.
a jump never has a limit because it is a point that is at 2 different places. like if the jump occurs at x=1 then one of the points could be (1,1) and the other could be (1,7) so the two points dont meet.
b. An asymptote (infinite) might have a limit
an asymptote can only have a limit in ONE WAY. both of the sides have to match. They either both have to go up or they both need to go down. If they dont match and one goes up and the other down then the limit does not exist.
c. A removable ALWAYS has a limit
A removable always has a limit because it is just a hole on one continuous line.
Taylor Rodriguez::
ReplyDeleteExplain the following statements:
a. A jump NEVER has a limit
A jump on a graph is a point in the graph where the graphed line is no longer continuous; therefore there is no limit. To explain further I will explain in terms of an actual graph. On a graph a jump is a point where a continuous line suddenly stops and begins again on a different level. There cannot be a limit because the graph does not continue on. When a graph continues as a single continuous line there is one number the graph is headed toward as (X) approaches a specified number but with a jump there are two portions of the graph therefore there are two numbers the graph is headed toward as (x) approaches a specific number. When there are two numbers a graph heads toward as (X) approaches a specified number we know that the limit does not exist.
b. An asymptote (infinite) might have a limit
An infinite asymptote is a line on a graph which continues on indefinitely. Because the line never reaches the number (X) is approaching the limit is defined as –infinity or +infinity. Because any form of infinity is not truly defined as a number the limit of an infinite asymptote is truly undefined. However, because the limit does exist but is undefined we give the limit a name of positive infinity or negative infinity.
c. A removable ALWAYS has a limit
A removable always has a limit because a removable is a point on the graph where (x) approaching a specified number has reached the number specified. The y value of the point where (X) reached the number it was approaching is the limit.
Explain the following statements:
ReplyDeletea. A jump NEVER has a limit
A jump is a break in the graph. At the point of the jump, there are 2 y-values, therefore there cannot be a limit because a limit is a y-value.
b. An asymptote (infinite) might have a limit
At an asymptote you must look at each side to determine if there is a limit. You know that with the asymptote, the sides will approach either infinity or negative infinity. If the right and left sides of the specified x-value are alike, then the limit is that number. If the left and right sides are different there is no limit.
c. A removable ALWAYS has a limit
A removable is the one form of discontinuity where there is always a limit. At this point there is only one y-value and that is your limit. Not much to it.
By: Mary Graci
ReplyDeletea) A jump NEVER has a limit: A jump never has a limit because it is undefined (or DNE). To have a limit, both the left and right side must be the same, but with a jump, that is never the case. The left side will never match the right in a jump because that is what defines a jump. So if you have a jump on a graph, your limit will always be DNE (does not exist.)
b) An asymptote might have a limit: A vertical asymptote on a graph can have one of three of the following as a limit: infinity, negative infinity, or DNE. This means that it will only have a limit some of the time. In order for it to have a limit, both sides need to match, either both being infinity or both being negative infinity. Sometimes, however, one side’s limit is infinity while the other is negative infinite, and since the two sides don’t match, the overall limit is DNE.
c) A removable ALWAYS has a limit: A removable is when there is a hole in the graph. With a removable, it is guaranteed that both sides will match, implying that there is a limit, because you treat a removable as if it were any other ordinary point on the graph. It is not an asymptote or a jump and both sides are the same. So, a removable always has a limit.
By: Stephen Ledbetter
ReplyDeletea) A jump NEVER has a limit. What this means is that there is a "jump" or break in the graph, therefore being a discontinuity. Also, the two sides of the jump will never match, therefore the limit would have to not exist (DNE).
b) An asymptote (infinite) might have a limit. This is true for vertical asymptotes mostly. You have to look at both sides of the graph to determine if there is a limit. If they both approach infinity, then the limit is infinity. If they both approach negative infinity, then the limit is negative infinity. However, if one approaches infinity and the other approaches negative infinity, then the limit does not exist (DNE).
c) A removable ALWAYS has a limit. What this means is that there is a hole in the middle of the graph, and the two side are always the same. There is only one y-value so that is the limit.
a.) A jump NEVER has a limit:
ReplyDeleteFirst of all, a jump is a type of discontinuity found on a graph. It's basically a break in the graph, or in other words, it means that say if you were drawing the graph on paper you would have to pick up your pencil to finish drawing it. Therefore, it is not continuous. There is no limit at a jump because at that specific point there is usually more than one y-value. A limit is defined as a y-value the graph is approaching, (meaning 1 y-value) and also the sides of the graph will never match.
b.) An asymptote (infinite) might have a limit:
An asymptote is an imaginary line on a graph. It can either go to infinity or negative infinity, but if it happens to approach both, then the limit would not exist. An asymptote will have a limit if there is only one asymptote, or if there is more than one and they match. For example, if both asymptotes were approaching negative infinity, the limit would be negative infinity. However, if one asymptote was approaching negative infinity and the other positive infinity, the limit would not exist because the values don't match up.
c.) A removable ALWAYS has a limit:
Well first, a removable is a discontinuity where there is a "hole" in the graph. It differs from the other discontinuities in that it will always have a limit because no matter where the hole is, both sides of the graph are always equal to each other. And even though it is a "hole", it acts as though it's a regular point because it exists on the graph itself. So therefore, a y-value with a removable will have a limit.
a.) a jump NEVER has a limit
ReplyDeletea jump, in calculus can define itself. basically its a spot on the graph where the line ends, making it a type of discontinuity. usually there are 2 different y values at a jump and a limit can only be a single y value
b.) an asymptote (infinite) might have a limit
an asymptote is an imaginary line on the graph. in order for an asymptote to have a limit, both lines have to approach the same number: infinity or negative infinity
if they do not, then the limit is DNE
c.) a removable ALWAYS has a limit
a removable is also known as a hole in the graph, and both sides of the graph are still identical, as well as 1 y value, so it will always have a limit
Explain the following statements:
ReplyDeleteFIRST I WOULD LIKE TO SAY THAT A LIMIT IS A Y-VALUE, SINGULAR, ONE, THAT THE GRAPH IS APPROACHING.
a.) a jump NEVER has a limit
-a jump, as the name describes, is a jump on a graph. The graph literally jumps from one interval to another. The graph will stop and appear either below or above where it had stopped. There is no limit at a jump because wherever the graph breaks, there is more than one y-value.
b.) an asymptote (infinite) might have a limit
-an asymptote extends on forever but in accordance with a graph in calculus, both sides of the graph must approach either infinity or negative infinity or the asymptote does not exist (DNE).
c.) a removable ALWAYS has a limit
-a removable is a HOLE IN THE GRAPH. It is a discontinuity. It is different from the other discontinuities in that it will always have a limit because no matter where the hole is, both sides of the graph are always equal to each other. Even though it is a "hole", it acts like a regular point because it exists on the graph itself. Therefore, a y-value with a removable will have a limit
Chase Peytavin:
ReplyDeleteA) A jump NEVER has a limit!
in calculus, a jump is defined as a spot on a graph where a line ends, forming a discontinuity. a jump has usually has 2 y values, and a limit only has 1
B)an asymptote (infinite) might have a limit.
if an asymptote is to have a limit, both lines must move towards the same number; infinity or negative infitity (if not the limit is DNE)
C)a removable ALWAYS has a limit!
a removable in other words is just a hole in the graph; both sides of the graph are the same, and there is one y value, therefore, it will always have a limit
Sparky #prompt
ReplyDelete1) a jump never has a limit. This is because that the graphs on either side of the x-value are approaching different y-values.
2) an asymptote sometimes has a limit. An asymptote is a graph that is constantly getting closer to a line but never touches it and it can approach either infinity or negative infinity. If there are asymptotes on either side of an x-value and those asymptotes are approaching both infinity and negative infinity then the limit does not exist.
3) a removable always has a limit. If a graph has a removable then it has a single point on an otherwise continuous graph that the y-value comes out to be undefined. This point's x-value still has a limit as both the right and left side of the x-value are still approaching the same y-value.
Herp-Derp
ReplyDelete1) A jump never has a limit. It approaches one point from one side, and stops before it goes to the other side of the x-coordinate. After it does that, then it goes to a different y-coordinate on the same x-coordinate. It's kind of like when you take one half of a line, and push it either up or down in a vertical direction. But the two ends of the line don't connect at the x-coordinate. They just leave a big gap, or "jump" if you will, hence the name JUMP.
2) Asymptotes are kind of like the opposite of the roads found in places like Germany. Most asymptotes have no limit, but there are very few asymptotes with limits. That analogy of the roads in Germany is effective if you switch the factor of asymptotes which have limits (regular roads in Germany) and asymptotes that have a limit (The Autobahn in Germany). Mainly the number of each of them found is semi-related and whatnot.
3) Removables may not look like they have a limit, but believe you me, they've got a damn-easy-to-find limit. When finding a limit of a removable, it's like looking for a sniper bullet's hole in a cardboard box. Where you see an open hole on the graph is where the removable, and most of the time the limit, is located, just like a bullet hole in cardboard. The precision on the shot being aimed at the limit of the graph must be precise for this to occur.
a. a jump never has a limit
ReplyDeleteThis means for if there is a jump then the graph is not continuous. The two sides of the graph do not match. Both sides of the graph were not approaching the same thing.
b. an asymptote (infinite) might have a limit
All asymptote limits are either positive or negative infinity. But the sides of the graph might not match, because the two sides may not be approaching the same thing. One side might be approaching positive infinity, while the other side might be approaching negative infinity.
c. A removable ALWAYS has a limit
Removables are holes in the graph. They are on the the coordinate plane but not on the graph. They do have a y-value becasue the do exist on the plane. But they are not apart of the graph. Graphs with removables are not continuous.
a. A jump NEVER has a limit
ReplyDeletea jump never has a limit because it is a point that is at 2 different places. like if the jump occurs at x=1 then one of the points could be (1,1) and the other could be (1,7) so the two points dont meet.
b. An asymptote (infinite) might have a limit
an asymptote can only have a limit in ONE WAY. both of the sides have to match. They either both have to go up or they both need to go down. If they dont match and one goes up and the other down then the limit does not exist.
c. A removable ALWAYS has a limit
A removable always has a limit because it is just a hole on one continuous line.