Tag Archives: graphing functions

Review for Midterm #2

f is continuous if

The limit as x approaches a exists for f(x), the limit as x approaches a equals f(a) and it is continuous along the interval if true for every point a in the Interval.

f is differentiable if

The limit as h as f evaluated at x plus h minus f evaluated at x over h exists. Along an interval if limit exists for every point a in the interval.

A differentiable function is always continuous, but not the other way around. A continuous function can not have a derivative at a point (Break or sharp corner)


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