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Free Response Question-1 Calculator NOT Allowed 2 D 2 E F 4 Graph off G t -S g(x) <-4 -2 2 G 1 4 8 2 0 3 -1 5 3 7 -2 8 -12 B The function f is given by the graph above left. Selected values of the function g are given in the table above right. The function f is modeled by a polynomial of degree n with leading coefficient a. There are no zeros beyond the interval shown on the graph. Answer the following questions regarding these functions. A. What is the degree, n of the polynomial based on the graph? Give a reason for your conclusion. B. For the function f(x) = ax" what can you determine about the sign of a? How do you know? C. On what interval(s) is the rate of change of f (x) positive and decreasing? Explain how you know. D. The function g is modeled by a polynomial of degree m. Determine the minimum value of m. Justify your answer. E Find the average rate of change of g on the interval 1≤ x ≤ 3.

Free Response Question-1 Calculator NOT Allowed 2 D 2 E F 4 Graph off G t -S g(x) <-4 -2 2 G 1 4 8 2 0 3 -1 5 3 7 -2 8 -12 B The function f is given by the graph above left. Selected values of the function g are given in the table above right. The function f is modeled by a polynomial of degree n with leading coefficient a. There are no zeros beyond the interval shown on the graph. Answer the following questions regarding these functions. A. What is the degree, n of the polynomial based on the graph? Give a reason for your conclusion. B. For the function f(x) = ax" what can you determine about the sign of a? How do you know? C. On what interval(s) is the rate of change of f (x) positive and decreasing? Explain how you know. D. The function g is modeled by a polynomial of degree m. Determine the minimum value of m. Justify your answer. E Find the average rate of change of g on the interval 1≤ x ≤ 3.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 38E
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Free Response Question-1 Calculator NOT Allowed 2 D 2 E F 4 Graph off G t -S g(x) <-4 -2 2 G 1 4 8 2 0 3 -1 5 3 7 -2 8 -12 B The function f is given by the graph above left. Selected values of the function g are given in the table above right. The function f is modeled by a polynomial of degree n with leading coefficient a. There are no zeros beyond the interval shown on the graph. Answer the following questions regarding these functions. A. What is the degree, n of the polynomial based on the graph? Give a reason for your conclusion. B. For the function f(x) = ax" what can you determine about the sign of a? How do you know? C. On what interval(s) is the rate of change of f (x) positive and decreasing? Explain how you know. D. The function g is modeled by a polynomial of degree m. Determine the minimum value of m. Justify your answer. E Find the average rate of change of g on the interval 1≤ x ≤ 3.
Transcribed Image Text:Free Response Question-1 Calculator NOT Allowed 2 D 2 E F 4 Graph off G t -S g(x) <-4 -2 2 G 1 4 8 2 0 3 -1 5 3 7 -2 8 -12 B The function f is given by the graph above left. Selected values of the function g are given in the table above right. The function f is modeled by a polynomial of degree n with leading coefficient a. There are no zeros beyond the interval shown on the graph. Answer the following questions regarding these functions. A. What is the degree, n of the polynomial based on the graph? Give a reason for your conclusion. B. For the function f(x) = ax" what can you determine about the sign of a? How do you know? C. On what interval(s) is the rate of change of f (x) positive and decreasing? Explain how you know. D. The function g is modeled by a polynomial of degree m. Determine the minimum value of m. Justify your answer. E Find the average rate of change of g on the interval 1≤ x ≤ 3.
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