Algebra 2 Unit 8 Test Rational Functions

Which statements are true for the given rational function. Select all that apply.

• The domain is all real numbers except -2 AND 6.

• There is a removable discontinuity at x=6

• The vertical asymptote is x = -2

• The x and y intercepts are at the origin.

• The domain is all real numbers except -2.

• There are no holes

• x=-5

• x=1/2

• x=1

• x=-3

• x=2

The holes of a rational function occur when :

• my pencil pokes a hole in the paper I'm working on
• there is a non-removable factor in the denominator

• the value of f(0)=0

• a factor in the denominator cancels with a factor in the numerator

What is the vertical asymptote?

• x =-3

• y = -3

• x = 3

• y = 3

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1

• y = 9

What's the vertical asymptote of the function?

• x = 5

• x = 0

• x =5 , x = -5

• x = 25

What is the equation of the horizontal asymptote?

• y = 0

• y = -2

• y = 2

• There isn't one

Simplify.

• A

• B

• C

• D

• A

• B

• C

• D