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

College Algebra
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Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 42E: In Exercises 33-48, (a) find all real zeros of the polynomial function, (b) determine whether the...
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Number 93

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)
91. g(x) = (x + 1)² (x − 2)(x + 3)
93. g(x)=2(x + 1)²(x - 3)²
88. h(x) = x(x - 2)²
90. g(x) = (x + 1)(x - 2)²
92. f(x) = (x - 1)(x + 2)²(x + 1)
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) = x²(x - 1) 89. f(x) = (x - 2)²(x + 2) 91. g(x) = (x + 1)² (x − 2)(x + 3) 93. g(x)=2(x + 1)²(x - 3)² 88. h(x) = x(x - 2)² 90. g(x) = (x + 1)(x - 2)² 92. f(x) = (x - 1)(x + 2)²(x + 1) 94. f(x) = -3(x - 2)²(x + 1)²
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