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.
+~ +
1
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" 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.
+~ +
1
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" 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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