Solving Rational Equations and Graphing Rational Functions

Solve for x

• x = 10

• x = 6

• no solution

Solve and check for extraneous solutions

• x= - 3 &x= -8

• x= -3 & -8 is extraneous 

• No Solution

• x= -8 & -3 is extraneous 

Solve for x

• 4

• 2

• -2

• -4

Solve.

• x = 5

• x = -3

• x = 3

• x = -5

Solve by cross-multiplying.

• x = -1, 5

• No Solution

• x = -4, 5

• x= -4

What are the asymptotes?

• x=-2 and y=-1

• x=-2 and y=1

• x=2 and y=1

• x=2 and y = -1

When finding the Horizontal asymptotes of a function, you should be thinking...

• Set Bottom = to Zero

• Top = 0

• f(0)

• Look at the Degree of the top and bottom...

Which asymptote(s) are determined by looking at the denominator?

• vertical

• horizontal

• slant

• none

What are the Vertical Asymptotes of...

• x = 0, -5

• x=0, 5

• x = 2, -7

• x = -2, 7

What is the equation of the horizontal asymptote of the given function?

• y = 2

• x = 1

• There isn't one

• y = 5