(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) of f 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 multiplicityso the graph of fV the x-axis at x =The larger zero of the function is of multiplicity, so the graph of fV the x-axis at x =(d) Determine the maximum number of turning points on the graph of the function.(Type a whole number.)(e) Use the above information to draw a complete graph of the function. Choose the correct graph below.O A.OB.OC.OD.150-150- Analyze the polynomial function f(x) = (x + 6)(x - 1) using parts (a) through (e).

Answered: Analyze the polynomial function f(x) =…

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Analyze the polynomial function f(x) = (x + 6)(x – 1) using parts (a) through (e).

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section4.2: Complex Solutions Of Equations

Problem 7ECP: Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.

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Question

(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) of f 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
V the x-axis at x =
The larger zero of the function is of multiplicity, so the graph of f
V the x-axis at x =
(d) Determine the maximum number of turning points on the graph of the function.
(Type a whole number.)
(e) Use the above information to draw a complete graph of the function. Choose the correct graph below.
O A.
OB.
OC.
OD.
150-
150-

Analyze the polynomial function f(x) = (x + 6)(x - 1) using parts (a) through (e).

Expert Solution

Step 1

Given:-

f(x)=(x+6)(x-1)²

To find:-

c. Determine zeros and multiplicity

d . maximum number of turning points

e. Graph of f(x)

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