Consider the following function and graph. y = |x2 - 16| VV y 20- 15- 10 5 -6 -4 -2 2 4 Describe the x-values at which the function is differentiable. (Enter your answer using interval notation.) Explain your reasoning. The function is discontinuous for some value(s). O The graph has one or more cusps. O The function is not defined for some value(s). O The function is continuous. O The derivative does not exist at endpoints.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 40E
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Consider the following function and graph.
y
= |x2 - 16||
y
20
15
10
5
-6
-4
-2
4
6
Describe the x-values at which the function is differentiable. (Enter your answer using interval notation.)
Explain your reasoning.
The function is discontinuous for some value(s).
The graph has one or more cusps.
The function is not defined for some value(s).
The function is continuous.
O The derivative does not exist at endpoints.
Transcribed Image Text:Consider the following function and graph. y = |x2 - 16|| y 20 15 10 5 -6 -4 -2 4 6 Describe the x-values at which the function is differentiable. (Enter your answer using interval notation.) Explain your reasoning. The function is discontinuous for some value(s). The graph has one or more cusps. The function is not defined for some value(s). The function is continuous. O The derivative does not exist at endpoints.
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