Rational Functions

Find the Asymptote

100

What is the vertical asymptote of the following reciprocal function:

y=2/(x-3) +4

x=3

200

What is the horizontal asymptote of the following reciprocal function?

y=8/(x+3) - 3

y=-3

300

What is/are the vertical asymptote/totes of the following rational function?

y=(x+5)/(x^2 -25)

The only vertical asymptote is at x=5.

400

What is the horizontal asymptote of the following rational function?

y=(x^3 -1)/(x+4)

There is NO horizontal asymptote

500

What is the horizontal asymptote of the following function?

y=(6x^4 + 3x^2 -6)/(12x^4 -3x+2)

The horizontal asymptote is at y=1/2

Solve The Rational

100

Solve the rational:

3/2+1/x=2

2

200

3/(4x) = 5/(x+2)

6/17

300

8/(x+2)+8/2=5

6

400

(-3)/(x+1)=4/(x-1)

-1/7

500

Solve the rational

(x-3)/(x-4)+4=(3x)/x

7/2