Unformatted text preview: College Calc
exists Derivative Methods
Calc AB De
7) The graph of a function over the closed interval, [-2, 2], is given below. State the intervals or speci
x-values for when the function appears to be:
1) If fix) -
(art, (-1,o);(0, 1. 5) ; (1.5,a)
b) continuous but not differentiable.
c) neither continuous nor differentiable.
X=-1, X =O X=IS
8) The graph of the function f shown in the figure below has a vertical tangent at the point (2, 0) and
horizontal tangents at the points (1, -1) and (3, 1).
For what values of x, where -2<x < 4 , is f not differentiable? Explain your reasoning.
X=0 and x=a F vertical tangency
9) Let f (x) =(3x,x 50 - -3(0)=0
2x, x > 0 2(0)=0
a) Is f(x} continuous at x = 0? Refer to the definition of continuity to support your answer.
b) Sketch a graph to determine if the function is differentiable at x = 0.
Ca,'xyo #-3+a and not differentable
f x) - S-3, xLO
a Corner ad X=O....
View Full Document