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In Exercises 87-98, for each polynomial function, find a. The end behavior b. The y-intercept of its graph c. The x-intercept(s) of the graph of the function and the multiplicity of each of the real zeros d. Symmetry of the graph of the function, if any e. The intervals where the function is positive or negative Use this information to sketch a graph of the function. Factor first if the expression is not in factored form. 87. f(x)= x²(x - 1) 89. f(x) = (x - 2)²(x + 2) 88. h(x) = x(x - 2)² 90. g(x) = (x + 1)(x - 2)²

In Exercises 87-98, for each polynomial function, find a. The end behavior b. The y-intercept of its graph c. The x-intercept(s) of the graph of the function and the multiplicity of each of the real zeros d. Symmetry of the graph of the function, if any e. The intervals where the function is positive or negative Use this information to sketch a graph of the function. Factor first if the expression is not in factored form. 87. f(x)= x²(x - 1) 89. f(x) = (x - 2)²(x + 2) 88. h(x) = x(x - 2)² 90. g(x) = (x + 1)(x - 2)²

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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In Exercises 87–98, for each polynomial function, find: a. The end behavior b. The y-intercept of its graph c. The x-intercept(s) of the graph of the function and the multiplicity of each of the real zeros d. Symmetry of the graph of the function, if any e. The intervals where the function is positive or negative Use this information to sketch a graph of the function. Factor first if the expression is not in factored form. 87. \( f(x) = x^2(x - 1) \) 88. \( h(x) = x(x - 2)^2 \) 89. \( f(x) = (x - 2)^2(x + 2) \) 90. \( g(x) = (x + 1)(x - 2)^2 \) 91. \( g(x) = (x + 1)^2(x - 2)(x + 3) \) 92. \( f(x) = (x - 1)(x + 2)(x + 1) \) 93. \( g(x) = -2(x + 1)^2(x - 3)^2 \) 94. \( f(x) = -3(x - 2)^2(x + 1)^2 \)
Transcribed Image Text:In Exercises 87–98, for each polynomial function, find: a. The end behavior b. The y-intercept of its graph c. The x-intercept(s) of the graph of the function and the multiplicity of each of the real zeros d. Symmetry of the graph of the function, if any e. The intervals where the function is positive or negative Use this information to sketch a graph of the function. Factor first if the expression is not in factored form. 87. \( f(x) = x^2(x - 1) \) 88. \( h(x) = x(x - 2)^2 \) 89. \( f(x) = (x - 2)^2(x + 2) \) 90. \( g(x) = (x + 1)(x - 2)^2 \) 91. \( g(x) = (x + 1)^2(x - 2)(x + 3) \) 92. \( f(x) = (x - 1)(x + 2)(x + 1) \) 93. \( g(x) = -2(x + 1)^2(x - 3)^2 \) 94. \( f(x) = -3(x - 2)^2(x + 1)^2 \)
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