Follow the seven step strategy to graph the following rational function. 6x f(x) = x - 16 To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below. neither y-axis symmetry nor origin symmetry y-axis symmetry origin symmetry 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 (Type an integer or simplified fraction.) 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 (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. There is no x-intercept. Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The equation(s) of the vertical asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) O B. There is no vertical asymptote. Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) O B. There is no horizontal asymptote. Plot points between and beyond each x-intercept and vertical asymptote. Find the value of the function at the given value of x. - 7 - 5 - 1 1 6. 7 6x f(x) = 2

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 40E
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Follow the seven step strategy to graph the following rational function.
6x
f(x) =
x - 16
To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below.
neither y-axis symmetry nor origin symmetry
y-axis symmetry
origin symmetry
What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The y-intercept is
(Type an integer or a simplified fraction.)
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.
A. The x-intercept(s) is
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There is no x-intercept.
Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The equation(s) of the vertical asymptote(s) is/are
(Type an equation. Use a comma to separate answers as needed.)
B. There is no vertical asymptote.
Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The equation(s) of the horizontal asymptote(s) is/are
(Type an equation. Use a comma to separate answers as needed.)
B. There is no horizontal asymptote.
Plot points between and beyond each x-intercept and vertical asymptote. Find the value of the function at the given value of x.
- 7
- 5
- 1
1
6.
7
6x
f(x) =
2.
Transcribed Image Text:Follow the seven step strategy to graph the following rational function. 6x f(x) = x - 16 To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below. neither y-axis symmetry nor origin symmetry y-axis symmetry origin symmetry What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The y-intercept is (Type an integer or a simplified fraction.) 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. A. The x-intercept(s) is (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is no x-intercept. Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation(s) of the vertical asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) B. There is no vertical asymptote. Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) B. There is no horizontal asymptote. Plot points between and beyond each x-intercept and vertical asymptote. Find the value of the function at the given value of x. - 7 - 5 - 1 1 6. 7 6x f(x) = 2.
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