Analyze the polynomial function f(x) = (x+7)(x-4)² using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph of f behaves like y = for large values of Ixl. (b) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The y-intercept is (Simplify your answer. Type an integer or a fraction.) (c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the x-axis at each x-intercept. The zero(s) off is/are[ (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The smaller zero of the function is of multiplicity. so the graph of f the x-axis at x =. The larger zero of the function is of multiplicity. so the graph of f the x-axis at x=
Analyze the polynomial function f(x) = (x+7)(x-4)² using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph of f behaves like y = for large values of Ixl. (b) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The y-intercept is (Simplify your answer. Type an integer or a fraction.) (c) Determine the zeros of the function and their multiplicity. Use this information to determine whether the graph crosses or touches the x-axis at each x-intercept. The zero(s) off is/are[ (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) The smaller zero of the function is of multiplicity. so the graph of f the x-axis at x =. The larger zero of the function is of multiplicity. so the graph of f the x-axis at x=
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 80E
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