Follow the seven step strategy to graph the following rational function. 6x f(x) = x2 - 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 O y-axis symmetry O 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 a 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. - 6 1 6 7 -7 - 1 6x f(x) = x2 - 16 (Simplify your answer. Type an integer or a simplified fraction.) Use the information obtained in the previous steps to graph the function between and beyond the vertical asymptotes. Choose the correct graph below. O A. OB. В. Oc. OD. 10- -10 -10 10

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Follow the seven step strategy to graph the following rational function.
6x
f(x) =
x2 - 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
O y-axis symmetry
O 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 a 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.
- 6
1 6 7
-7
- 1
6x
f(x) =
x2 - 16
(Simplify your answer. Type an integer or a simplified fraction.)
Use the information obtained in the previous steps to graph the function between and beyond the vertical asymptotes. Choose the correct graph below.
O A.
OB.
В.
O
c.
OD.
10-
-10
-10
10
Transcribed Image Text:Follow the seven step strategy to graph the following rational function. 6x f(x) = x2 - 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 O y-axis symmetry O 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 a 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. - 6 1 6 7 -7 - 1 6x f(x) = x2 - 16 (Simplify your answer. Type an integer or a simplified fraction.) Use the information obtained in the previous steps to graph the function between and beyond the vertical asymptotes. Choose the correct graph below. O A. OB. В. O c. OD. 10- -10 -10 10
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