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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
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. 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.
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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