Solving Rational Functions Both Types

What is an asymptote in the context of rational functions?

• A line that a graph approaches but never touches or crosses.

• A line that a graph crosses at one point.

• A line that a graph touches at one point.

• A line that a graph intersects at multiple points.

What are the two types of asymptotes that a rational function can have?

• vertical and horizontal

• positive and negative

• curved and straight

• oblique and diagonal

A vertical asymptote is found by setting the _________= to zero and solving for x 

• Numerator

• Denominator

• Right side 

• Left side

• x = 0

• x = 1/7

• x = 7

• y = 7

Label the graph

b

c

d

e

a

x-axis

Vertical Asymptote

Horizontal Asymptote

origin

y-intercept

• y = 0

• x = 1/7

• x = 7

• y = 7

What are the asymptotes?

• x = -3        y = 1  

• x = 3         y = 1

• x = -3        y = -1

• x = 3         y = -1

What is the horizontal asymptote on a rational functional when BOTH degrees are EQUAL?

• y = 0

• NO HA

Solve the equation for x.

• 6

• 12

• 0

• 3

Solve for x.

• 2

• 18/5

• 26/5

• 6