(g) Explain whether every local maximum and minimum of h occurs where h' equals zero or does not exist. (h) Explain whether h has a local maximum or minimum everywhere h' equals zero or does not exist.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 52E
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Can you do g and h please

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6. Use the graph of h to answer the following.
(a) Find all values of c for which h(c) is a local maximum value of h
(e) Find all values of c for which h'(c) = 0
-1
(b) Find all values of c for which h(c) is a local minimum value of h
(f) Find all values of c for which h'(c) does not exist
y=h(x)
(c) Does h have an absolute maximum? If so, what is its value and where does it occur?
2
(d) Does h have an absolute minimum? If so, what is its value and where does it occur?
(g) Explain whether every local maximum and minimum of h occurs where h' equals zero or does not exist.
(h) Explain whether h has a local maximum or minimum everywhere h' equals zero or does not exist.
Transcribed Image Text:-2 2- 1 6. Use the graph of h to answer the following. (a) Find all values of c for which h(c) is a local maximum value of h (e) Find all values of c for which h'(c) = 0 -1 (b) Find all values of c for which h(c) is a local minimum value of h (f) Find all values of c for which h'(c) does not exist y=h(x) (c) Does h have an absolute maximum? If so, what is its value and where does it occur? 2 (d) Does h have an absolute minimum? If so, what is its value and where does it occur? (g) Explain whether every local maximum and minimum of h occurs where h' equals zero or does not exist. (h) Explain whether h has a local maximum or minimum everywhere h' equals zero or does not exist.
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