Determine the behavior of the function at each zero. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. O A. The graph crosses the x-axis at x= and touches the x-axis and turns around at x= (Simplify your answers. Type integers or decimals. Use a comma to separate answers as needed.) O B. The graph touches the x-axis and turns around at all zeros. OC. The graph crosses the x-axis at all zeros.

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 79E
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Determine the behavior of the function at each zero. Select the correct choice below​ and, if​ necessary, fill in the answer boxes within your choice.

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero.
f(x) = - 6(x - 9)(x+ 8)?
(Type integers or decimals. Use a comma to separate answers as needed.)
Determine the multiplicities of the zero(s). Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
O A. There is one zero. The multiplicity of the zero is
(Simplify your answer.)
O B. There are two zeros. The multiplicity of the largest zero is 2. The multiplicity of the smallest zero is 1.
(Simplify your answers.)
O C. There are three zeros. The multiplicity of the largest zero is. The multiplicity of the smallest zero is . The multiplicity of the other zero is
(Simplify your answers.)
Determine the behavior of the function at each zero. Select the correct choice below and, if necessary, fill in the answer boxes within your choice.
O A. The graph crosses the x-axis at x =
and touches the x-axis and turns around at x=
(Simplify your answers. Type integers or decimals. Use a comma to separate answers as needed.)
O B. The graph touches the x-axis and turns around at all zeros.
O C. The graph crosses the x-axis at all zeros.
Transcribed Image Text:Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero. f(x) = - 6(x - 9)(x+ 8)? (Type integers or decimals. Use a comma to separate answers as needed.) Determine the multiplicities of the zero(s). Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. There is one zero. The multiplicity of the zero is (Simplify your answer.) O B. There are two zeros. The multiplicity of the largest zero is 2. The multiplicity of the smallest zero is 1. (Simplify your answers.) O C. There are three zeros. The multiplicity of the largest zero is. The multiplicity of the smallest zero is . The multiplicity of the other zero is (Simplify your answers.) Determine the behavior of the function at each zero. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. O A. The graph crosses the x-axis at x = and touches the x-axis and turns around at x= (Simplify your answers. Type integers or decimals. Use a comma to separate answers as needed.) O B. The graph touches the x-axis and turns around at all zeros. O C. The graph crosses the x-axis at all zeros.
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