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1. Sketch a graph of a function that has the features to match the following: i. It has x intercepts at x=0 and x=2 ii. It has y intercept at y=0 iii. The 1st derivative and 2nd derivative of the function follows the table below: f'(x) fƒ"(x) x<0 x=0 01.5 negative 0 positive 0 positive positive positive 0 negative a) At what x value(s) does the function have critical points? b) At what x value does the function have a relative max? c) At what x value does the function have a relative min? d) At what x value(s) does the function have a point of inflection? e) List the intervals where the function is increasing. f) List the intervals where the function is decreasing. g) List the intervals where the function is concave up. h) List the intervals where the function is concave down. negative negative negative

1. Sketch a graph of a function that has the features to match the following: i. It has x intercepts at x=0 and x=2 ii. It has y intercept at y=0 iii. The 1st derivative and 2nd derivative of the function follows the table below: f'(x) fƒ"(x) x<0 x=0 01.5 negative 0 positive 0 positive positive positive 0 negative a) At what x value(s) does the function have critical points? b) At what x value does the function have a relative max? c) At what x value does the function have a relative min? d) At what x value(s) does the function have a point of inflection? e) List the intervals where the function is increasing. f) List the intervals where the function is decreasing. g) List the intervals where the function is concave up. h) List the intervals where the function is concave down. negative negative negative

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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1. Sketch a graph of a function that has the features to match the following: It has x intercepts at x=0 and x=2 It has y intercept at y=0 The 1st derivative and 2nd derivative of the function follows the table below: f'(x) f"(x) i. ii. iii. x<0 x=0 0<x<1 x=1 positive 0 positive positive positive 0 negative a) At what x value(s) does the function have critical points? b) At what x value does the function have a relative max? 1<x<1.5 x=1.5 x>1.5 negative 0 positive 0 negative negative negative c) At what x value does the function have a relative min? d) At what x value(s) does the function have a point of inflection? e) List the intervals where the function is increasing. f) List the intervals where the function is decreasing. g) List the intervals where the function is concave up. h) List the intervals where the function is concave down.
Transcribed Image Text:1. Sketch a graph of a function that has the features to match the following: It has x intercepts at x=0 and x=2 It has y intercept at y=0 The 1st derivative and 2nd derivative of the function follows the table below: f'(x) f"(x) i. ii. iii. x<0 x=0 0<x<1 x=1 positive 0 positive positive positive 0 negative a) At what x value(s) does the function have critical points? b) At what x value does the function have a relative max? 1<x<1.5 x=1.5 x>1.5 negative 0 positive 0 negative negative negative c) At what x value does the function have a relative min? d) At what x value(s) does the function have a point of inflection? e) List the intervals where the function is increasing. f) List the intervals where the function is decreasing. g) List the intervals where the function is concave up. h) List the intervals where the function is concave down.
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