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y= v-2² +2²-2x+ 8 (a) Find y'= f'(x). f'(x)=x²+x-2 (b) Find the critical values. (Enter your answers as a comma-separated list.) x = -2, 1 (c) Find the critical points. 34 (x, y) = (-2, (smaller x-value) 3 (x, y) = (1,4 ) (larger x-value) (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) (-∞0, - 2) x Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) (-2,1) (e) Classify the critical points as relative maxima, relative minima, or horizontal points of inflection. In each case, check your conclusions with a graphing uti 34 relative maxima (x, y) = ( −2, ³3- ) relative minima (x, y) = ( 1, 41 ) horizontal points of inflection (x, y) = 1 109 2¹ 12 × )

y= v-2² +2²-2x+ 8 (a) Find y'= f'(x). f'(x)=x²+x-2 (b) Find the critical values. (Enter your answers as a comma-separated list.) x = -2, 1 (c) Find the critical points. 34 (x, y) = (-2, (smaller x-value) 3 (x, y) = (1,4 ) (larger x-value) (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) (-∞0, - 2) x Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) (-2,1) (e) Classify the critical points as relative maxima, relative minima, or horizontal points of inflection. In each case, check your conclusions with a graphing uti 34 relative maxima (x, y) = ( −2, ³3- ) relative minima (x, y) = ( 1, 41 ) horizontal points of inflection (x, y) = 1 109 2¹ 12 × )

Calculus: Early Transcendentals
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. y = + - 2x + 8 3 2 (a) Find y' = f'(x). f'(x) = x² + x - 2 (b) Find the critical values. (Enter your answers as a comma-separated list.) x = -2, 1 (c) Find the critical points. -2, 344 (x, y) = (smaller x-value) (x, y) 41 6 1, = (larger x-value) (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) (-∞, -2) x Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) (-2,1) (e) Classify the critical points as relative maxima, relative minima, or horizontal points of inflection. In each case, check your conclusions with a graphing uti 34 relative maxima (x, y) = (-2, 3 relative minima (x, y) = (1, 41 6 1 109 horizontal points of inflection (x, y) = ( 2' 12 )
Transcribed Image Text:Consider the following function. y = + - 2x + 8 3 2 (a) Find y' = f'(x). f'(x) = x² + x - 2 (b) Find the critical values. (Enter your answers as a comma-separated list.) x = -2, 1 (c) Find the critical points. -2, 344 (x, y) = (smaller x-value) (x, y) 41 6 1, = (larger x-value) (d) Find intervals of x-values where the function is increasing. (Enter your answer using interval notation.) (-∞, -2) x Find intervals of x-values where the function is decreasing. (Enter your answer using interval notation.) (-2,1) (e) Classify the critical points as relative maxima, relative minima, or horizontal points of inflection. In each case, check your conclusions with a graphing uti 34 relative maxima (x, y) = (-2, 3 relative minima (x, y) = (1, 41 6 1 109 horizontal points of inflection (x, y) = ( 2' 12 )
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