**Unformatted text preview: **College Calc
exists Derivative Methods
Calc AB De
The Form
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) -
a) differentiable.
(art, (-1,o);(0, 1. 5) ; (1.5,a)
b) continuous but not differentiable.
X=-I
1.5
c) neither continuous nor differentiable.
X=-1, X =O X=IS
TASK C
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
not continuous
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.
yes, Oflo)=o
lm fud=o
3f(o)-lmfa)
X -0
X-70
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
because theris-
a Corner ad X=O....

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- Fall '16
- Ms. Grieco
- Calculus, Topology, Derivative, Continuous function