Question
Asked Sep 26, 2019

see attachment

O POLYNOMIAL AND RATIONAL FUNCTIONS
Finding the asymptotes of a rational function: Linear over linear
Graph all vertical and horizontal asymptotes of the function
— 6х +7
f(x)=3x-9
5
4
3
?
2
4
-4
2
3
5
-5
-2
-1
-2
-3
-4
-5
help_outline

Image Transcriptionclose

O POLYNOMIAL AND RATIONAL FUNCTIONS Finding the asymptotes of a rational function: Linear over linear Graph all vertical and horizontal asymptotes of the function — 6х +7 f(x)=3x-9 5 4 3 ? 2 4 -4 2 3 5 -5 -2 -1 -2 -3 -4 -5

fullscreen
check_circle

Expert Answer

Step 1

Consider the given function:

-бх +7 п(х)
у3
-3х -9 d(х)
п(х)- -6х +7
d (x)--3х - 9
help_outline

Image Transcriptionclose

-бх +7 п(х) у3 -3х -9 d(х) п(х)- -6х +7 d (x)--3х - 9

fullscreen
Step 2

Now find vertical asymptote of the function.

d(x) 0
— Зх —9 - 0
х3 -3
help_outline

Image Transcriptionclose

d(x) 0 — Зх —9 - 0 х3 -3

fullscreen
Step 3

Find horizontal asymptote...

coefficient of highest degree of nx)
coefficient of highest degree of d(x)
-6
-3
y 2
help_outline

Image Transcriptionclose

coefficient of highest degree of nx) coefficient of highest degree of d(x) -6 -3 y 2

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Functions