Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y f(x). fx) 2x(x-2)3 What is the domain of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The domain is (Type your answer in interval notation. Use a comma to separate answers as needed.) What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The y-intercept is y| O B. There is no y-intercept. What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The x-intercept(s) is/are x= (Simplify your answer. Use a comma to separate answers as needed.) O B. There is no x-intercept What is/are the local maximum/a? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local maximum/a is/are at x (Type an integer or simplified fraction. Use a comma to separate answers as needed.) O B. There is no local maximum What is/are the local minimum/a? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local minimum/a is/are at x (Type an integer or simplified fraction. Use a comma to separate answers as needed.) O B. There is no local minimum What are the inflection points? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The inflection points are at x (Type an integer or simplified fraction. Use a comma to separate answers as needed.) O B. There are no inflection points. Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y f(x) fix)-2x(x-2)3 What are the inflection points? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The inflection points are at x= (Type an integer or simplified fraction. Use a comma to separate answers as needed.) O B. There are no inflection points On what interval(s) is f increasing or decreasing? (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O A. fis increasing on and decreasing on O B. fis never decreasing; fis increasing on O C. fis never increasing; f is decreasing on On what interval(s) is f concave upward or concave downward? (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O A. fis concave upward on and concave downward on O B. fis never concave downward; f is concave upward on O C. fis never concave upward, fis concave downward on Sketch the graph of y fx). Choose the correct graph below. O C. O A. O B. O D. Ay 5-

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 4T: The path of a ball is modeled by the function f(x)=120x2+3x+5, where fx is the height (in feet) of...
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Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y f(x).
fx) 2x(x-2)3
What is the domain of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
The domain is
(Type your answer in interval notation. Use a comma to separate answers as needed.)
What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice
O A. The y-intercept is y|
O B. There is no y-intercept.
What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
The x-intercept(s) is/are x=
(Simplify your answer. Use a comma to separate answers as needed.)
O B. There is no x-intercept
What is/are the local maximum/a? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
The local maximum/a is/are at x
(Type an integer or simplified fraction. Use a comma to separate answers as needed.)
O B. There is no local maximum
What is/are the local minimum/a? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The local minimum/a is/are at x
(Type an integer or simplified fraction. Use a comma to separate answers as needed.)
O B. There is no local minimum
What are the inflection points? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The inflection points are at x
(Type an integer or simplified fraction. Use a comma to separate answers as needed.)
O B. There are no inflection points.
Transcribed Image Text:Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y f(x). fx) 2x(x-2)3 What is the domain of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The domain is (Type your answer in interval notation. Use a comma to separate answers as needed.) What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The y-intercept is y| O B. There is no y-intercept. What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The x-intercept(s) is/are x= (Simplify your answer. Use a comma to separate answers as needed.) O B. There is no x-intercept What is/are the local maximum/a? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local maximum/a is/are at x (Type an integer or simplified fraction. Use a comma to separate answers as needed.) O B. There is no local maximum What is/are the local minimum/a? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local minimum/a is/are at x (Type an integer or simplified fraction. Use a comma to separate answers as needed.) O B. There is no local minimum What are the inflection points? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The inflection points are at x (Type an integer or simplified fraction. Use a comma to separate answers as needed.) O B. There are no inflection points.
Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y f(x)
fix)-2x(x-2)3
What are the inflection points? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The inflection points are at x=
(Type an integer or simplified fraction. Use a comma to separate answers as needed.)
O B. There are no inflection points
On what interval(s) is f increasing or decreasing?
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
O A. fis increasing on
and decreasing on
O B. fis never decreasing; fis increasing on
O C. fis never increasing; f is decreasing on
On what interval(s) is f concave upward or concave downward?
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
O A. fis concave upward on
and concave downward on
O B. fis never concave downward; f is concave upward on
O C. fis never concave upward, fis concave downward on
Sketch the graph of y fx). Choose the correct graph below.
O C.
O A.
O B.
O D.
Ay
5-
Transcribed Image Text:Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y f(x) fix)-2x(x-2)3 What are the inflection points? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The inflection points are at x= (Type an integer or simplified fraction. Use a comma to separate answers as needed.) O B. There are no inflection points On what interval(s) is f increasing or decreasing? (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O A. fis increasing on and decreasing on O B. fis never decreasing; fis increasing on O C. fis never increasing; f is decreasing on On what interval(s) is f concave upward or concave downward? (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O A. fis concave upward on and concave downward on O B. fis never concave downward; f is concave upward on O C. fis never concave upward, fis concave downward on Sketch the graph of y fx). Choose the correct graph below. O C. O A. O B. O D. Ay 5-
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