For the polynomial function below: (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. f(x) = - 8 (x +49) (x-3) complete your choice. A. The real zero(s) of f is/are 3. (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. There are no real zeros. The multiplicity of the zero is (Type a whole number.) (b) The graph of f crosses the x-axis at the x-intercept. (c) The maximum number of turning points on the graph is 4 Type a whole number.) (d) Type the power function that the graph of f resembles for large values of x|. y% = Vi More Click to select your answer(s). 2)

For the polynomial function below: (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. f(x) = - 8 (x +49) (x-3) complete your choice. A. The real zero(s) of f is/are 3. (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. There are no real zeros. The multiplicity of the zero is (Type a whole number.) (b) The graph of f crosses the x-axis at the x-intercept. (c) The maximum number of turning points on the graph is 4 Type a whole number.) (d) Type the power function that the graph of f resembles for large values of x|. y% = Vi More Click to select your answer(s). 2)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

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...

See similar textbooks

Similar questions

For the following exercises, find all zeros of the polynomial function, noting multiplicities. 15. f(x)=x34x2+x4
(a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.
In the following exercises, use the Factor Theorem to determine if xcis a factor of the polynomial function. 334. Determine whether x+3 a factor of x3+8x2+21x+18
Determine the and behavior of the polynomial function. f(x)=8x33x2+2x4
Fill in the blanks. When a real zero xa of a polynomial functionfis of even multiplicity, the graph of fthe x-axisatx=a,and when it is of odd multiplicity, the graph of f the x-axisatx=a.
In Exercises 33-48, (a) find all real zeros of the polynomial function, (b) determine whether the multiplicity of each zero is even or odd, (c) determine the maximum possible number of turning points of the graph of the function, and (d) use a graphing utility to graph the function and verify your answers. f(x)=x4x330x2
Find a fourth-degree polynomial function f with real coefficients that has 2, 2, and 7i as zeros.
Given:f(x) = x2 − 36 .(a) find real zeros of the polynomial function, (b) determine whether the multiplicity of zero is even or odd, (c) determine the maximum possible number of turning points of the graph of the function, and (d) use a graphing utility to graph the function and verify your answer.
Find the zeros for the polynomial function f(x) = x3 - 2x2 + x and give the multiplicity for the zero. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at the zero.
For the polynomial function f(x)= 6 (x^2 + 1)^2 (x-3)^3 The maximum number of turning points on the graph is: (Type a whole number)