For the polynomial function f(x) = - 3x (x² - 3) answer the following questions.(a) List each real zero and its multiplicity.(b) Determine whether the graph crosses or touches the x-axis at each x-intercept.(c) Determine the maximum number of turning points on the graph.(d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of |x|.(a) Find any real zeros of f. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.A. The real zero of f is with multiplicity(Type an exact answer, using radicals as needed. Type integers or fractions.)B. The smallest zero of f iswith multiplicity. The largest zero of f is(Type an exact answer, using radicals as needed. Type integers or fractions.)with multiplicityOC. The smallest zero of f is with multiplicity. The middle zero of f is| with multiplicityThe largest zero of f is| with multiplicity(Type an exact answer, using radicals as needed. Type integers or fractions.)O D. There are no real zeros.

Answered: Image /qna-images/answer/0dcaf444-3617-495f-a365-6f943aea589b.jpg

Answered: For the polynomial function f(x) = -…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 49E

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For the polynomial function f(x) = - 3x° (x² - 3) answer the following questions. (a) List each real zero and its multiplicity. (b) Determine whether the graph crosses or touches the x-axis at each x-intercept. (c) Determine the maximum number of turning points on the graph.