Follow the seven step strategy to graph the following rational function. 6x f(x)%3= x -4 A. The x-intercept(s) is 0. (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. A. The equation(s) of the vertical asymptote(s) is/are x= -2,x=2. (Type an equation. Use a comma to separate answers as needed.) OB. 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 y=0. (Type an equation. Use a comma to separate answers as needed.) B. There is no horizontal asymptote.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.5: Graphing Rational Functions
Problem 42PS
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Follow the seven step strategy to graph the following rational function.
6x
f(x) =
x -4
A. The x-intercept(s) is 0.
(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 x= - 2,x=2.
(Type an equation. Use a comma to separate answers as needed.)
OB. 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 y = 0.
(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
7
6x
f(x) =
X
x² -
4
(Simplify your answer. Type an integer or a simplified fraction.)
Enter your answer in the edit fields and then click Check Answer.
Clear All
1 part
remaining
MacBook Air
DII
DD
80
000
000
F9
F7
F8
Transcribed Image Text:Follow the seven step strategy to graph the following rational function. 6x f(x) = x -4 A. The x-intercept(s) is 0. (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 x= - 2,x=2. (Type an equation. Use a comma to separate answers as needed.) OB. 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 y = 0. (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 7 6x f(x) = X x² - 4 (Simplify your answer. Type an integer or a simplified fraction.) Enter your answer in the edit fields and then click Check Answer. Clear All 1 part remaining MacBook Air DII DD 80 000 000 F9 F7 F8
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