1. Suppose f is differentiable everywhere, f(0) = -1/2, and f' is graphed below. 2- (a) Find all critical numbers of f. If there are none, say so. (b) Use the graph of f' to find all intervals on which is f increasing or decreasing. (c) Use a test to classify each critical number of f as a local maximum, local minimum, or neither. (d) Use the graph of f' to sketch a graph of f" on the axes to the right of f' (e) Use your graph of f" to find where f is concave up, is concave down, and has inflection points. X
1. Suppose f is differentiable everywhere, f(0) = -1/2, and f' is graphed below. 2- (a) Find all critical numbers of f. If there are none, say so. (b) Use the graph of f' to find all intervals on which is f increasing or decreasing. (c) Use a test to classify each critical number of f as a local maximum, local minimum, or neither. (d) Use the graph of f' to sketch a graph of f" on the axes to the right of f' (e) Use your graph of f" to find where f is concave up, is concave down, and has inflection points. X
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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Can you do D, E, and F please?
![1. Suppose \( f \) is differentiable everywhere, \( f(0) = -1/2 \), and \( f' \) is graphed below.
[Left Graph: Blank grid with labeled x-axis at 1.]
[Center Graph: Graph of \( f' \) on the grid; features a curve that dips and rises, passing through y=-2 on the y-axis and approximately x=1 on the x-axis, labeled \( f' \).]
[Right Graph: Blank grid with labeled x-axis at 1.]
(a) Find all critical numbers of \( f \). If there are none, say so.
(b) Use the graph of \( f' \) to find all intervals on which \( f \) is increasing or decreasing.
(c) Use a test to classify each critical number of \( f \) as a local maximum, local minimum, or neither.
(d) Use the graph of \( f' \) to sketch a graph of \( f'' \) on the axes to the right of \( f' \).
(e) Use your graph of \( f'' \) to find where \( f \) is concave up, is concave down, and has inflection points.
(f) Use all this to sketch a graph of \( f \) on the axes to the left of \( f' \). Label local max/min and inflection points.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F442cdeaf-d6f5-4c90-9eca-defd0049fe9f%2Fdcd04473-18f9-4323-bf4d-9260ad5fdce8%2Funaw90e_processed.png&w=3840&q=75)
Transcribed Image Text:1. Suppose \( f \) is differentiable everywhere, \( f(0) = -1/2 \), and \( f' \) is graphed below.
[Left Graph: Blank grid with labeled x-axis at 1.]
[Center Graph: Graph of \( f' \) on the grid; features a curve that dips and rises, passing through y=-2 on the y-axis and approximately x=1 on the x-axis, labeled \( f' \).]
[Right Graph: Blank grid with labeled x-axis at 1.]
(a) Find all critical numbers of \( f \). If there are none, say so.
(b) Use the graph of \( f' \) to find all intervals on which \( f \) is increasing or decreasing.
(c) Use a test to classify each critical number of \( f \) as a local maximum, local minimum, or neither.
(d) Use the graph of \( f' \) to sketch a graph of \( f'' \) on the axes to the right of \( f' \).
(e) Use your graph of \( f'' \) to find where \( f \) is concave up, is concave down, and has inflection points.
(f) Use all this to sketch a graph of \( f \) on the axes to the left of \( f' \). Label local max/min and inflection points.
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