its alaina :)
so in the last two weeks, we reviewed limits, continuity and discontinuity.
-if something is continuous, that implies that the graph can be drawn without picking up your pen
there are four types of discontinuity- you have to pick up your pen to draw
types of discontinuity
1. vertical asymptotes
2. removable- "hole"
3. jump
4. oscillation--don't deal with these
most problems are set up as telling you to find something,
for example, find the "colored in y-value" or find all discontinuities and name them,
and then give you a graph of f(x) formula which you must then graph or plug a number into to find the discontinuity, if any.
if a graph has a jump or a removable, discontinuities, the limit does not exist- DNE.
as i was doing this blog, i started thinking about "discussing" continuity and what exactly it means, and i've come to the conclusion that i don't exactly know. So in class tomorrow, i will probably as a question about it.
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