Consider the following function. - 2x + 7 2 (a) Find y' = f'(x). f'(x) = +x - 2 (b) Find the critical values. (Enter your answers as a comma-s list.) x = -2, 1 (c) Find the critical points. ( -2, )(smaller x-value) (x, y) = 3 35 1, 6. ) (larger x-value) (x, y) = (d) Find intervals of x-values where the function is increasin your answer using interval notation.) Find intervals of x-values where the function is decreasing. (E answer using interval notation.) (e) Classify the critical points as relative maxima, relative min horizontal points of inflection. In each case, check your conclu a graphing utility. (If an answer does not exist, enter DNE.) (x, y) = ( x ) relative maxima relative minima (x, y) = ( horizontal points of inflection (x, y) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following function.
- 2x + 7
2
3
(a) Find y' = f"(x).
f'(x) =
+x - 2
(b) Find the critical values. (Enter your answers as a comma-s
list.)
х3 —2, 1
(c) Find the critical points.
(х, у) 3D
-2, *
) (smaller x-value)
3
35
1,
6.
) (larger x-value)
(x, y) =
(d) Find intervals of x-values where the function is increasin
your answer using interval notation.)
Find intervals of x-values where the function is decreasing. (E
answer using interval notation.)
(e) Classify the critical points as relative maxima, relative min
horizontal points of inflection. In each case, check your conclu
a graphing utility. (If an answer does not exist, enter DNE.)
(x, y) = (
х)
relative maxima
relative minima
(x, y) = (
horizontal points of inflection
(x, y) =
Need Help?
Read It
Transcribed Image Text:Consider the following function. - 2x + 7 2 3 (a) Find y' = f"(x). f'(x) = +x - 2 (b) Find the critical values. (Enter your answers as a comma-s list.) х3 —2, 1 (c) Find the critical points. (х, у) 3D -2, * ) (smaller x-value) 3 35 1, 6. ) (larger x-value) (x, y) = (d) Find intervals of x-values where the function is increasin your answer using interval notation.) Find intervals of x-values where the function is decreasing. (E answer using interval notation.) (e) Classify the critical points as relative maxima, relative min horizontal points of inflection. In each case, check your conclu a graphing utility. (If an answer does not exist, enter DNE.) (x, y) = ( х) relative maxima relative minima (x, y) = ( horizontal points of inflection (x, y) = Need Help? Read It
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