3. Answer the following about the function f(z)= 42³-4-500. Justify all your answers. (a) Find all critical numbers of f(z) (b) Where is the function y=f(z) increasing? (c) Where is the function y = f(x) concave down? (d) Find the x-coordinate of the inflection point (s) of f(x)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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question 3 and 4 please

3. Answer the following about the function f(z) = 42³-4-500. Justify all
your answers.
(a) Find all critical numbers of f(x)
(b) Where is the function y=f(z) increasing?
(c) Where is the function y = f(x) concave down?
(d) Find the x-coordinate of the inflection point (s) of f(x)
Transcribed Image Text:3. Answer the following about the function f(z) = 42³-4-500. Justify all your answers. (a) Find all critical numbers of f(x) (b) Where is the function y=f(z) increasing? (c) Where is the function y = f(x) concave down? (d) Find the x-coordinate of the inflection point (s) of f(x)
4. The graph of the derivative f'(x) of a function is given below. Justify your
answers to the following questions.
(a) Find all critical numbers (x-coordinates) of f(x)
(b) Where is the function y = f(x) decreasing?
(c) Where is the function y=f(z) concave up?
(d) Find the x-coordinate of the inflection point(s) of y=f(x)
-2
y = f'(x)
S
Transcribed Image Text:4. The graph of the derivative f'(x) of a function is given below. Justify your answers to the following questions. (a) Find all critical numbers (x-coordinates) of f(x) (b) Where is the function y = f(x) decreasing? (c) Where is the function y=f(z) concave up? (d) Find the x-coordinate of the inflection point(s) of y=f(x) -2 y = f'(x) S
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