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4. Graph f(x) = x4 - 4x² + 2 in Desmos. Then find f'(x) and graph it on the same graph. (Using the wrench tool, set the graph boundaries to -3 < x <3 and -6 < y < 6.) a) Where does f'(x) cross the x-axis? What is the slope of f(x) at that point? b) On what intervals is f'(x) above the x-axis? What is happening to the slope of f(x) on those intervals? c) On what intervals is f'(x) below the x-axis? What is happening to the slope of f(x) on those intervals?

4. Graph f(x) = x4 - 4x² + 2 in Desmos. Then find f'(x) and graph it on the same graph. (Using the wrench tool, set the graph boundaries to -3 < x <3 and -6 < y < 6.) a) Where does f'(x) cross the x-axis? What is the slope of f(x) at that point? b) On what intervals is f'(x) above the x-axis? What is happening to the slope of f(x) on those intervals? c) On what intervals is f'(x) below the x-axis? What is happening to the slope of f(x) on those intervals?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 1GP
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4. Graph f(x) = x4 - 4x² + 2 in Desmos. Then find f'(x) and graph it on the same graph. (Using the wrench tool, set the graph boundaries to -3 < x <3 and -6 < y < 6.) a) Where does f'(x) cross the x-axis? What is the slope of f(x) at that point? b) On what intervals is f'(x) above the x-axis? What is happening to the slope of f(x) on those intervals? On what intervals is f'(x) below the x-axis? What is happening to the slope of f(x) on those intervals?
Transcribed Image Text:4. Graph f(x) = x4 - 4x² + 2 in Desmos. Then find f'(x) and graph it on the same graph. (Using the wrench tool, set the graph boundaries to -3 < x <3 and -6 < y < 6.) a) Where does f'(x) cross the x-axis? What is the slope of f(x) at that point? b) On what intervals is f'(x) above the x-axis? What is happening to the slope of f(x) on those intervals? On what intervals is f'(x) below the x-axis? What is happening to the slope of f(x) on those intervals?
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