Domain of Rational Expressions

What (if any) holes exist?

• x=2

• x=2 and x=3

• x=-3

• x=3

Identify the vertical asymptotes

• A

• B

• C

• D

• All Real #s except x cannot equal 3 and -1

• All Real #s except x cannot equal 3

• All Real #s except x cannot equal -1

• All Real #s except x cannot equal -3

What is the horizontal asymptote of the function?

• x =1

• x = -2

• x = 2

• y = 0

State the domain restrictions. 

• x ≠ -2

• x ≠ 2, 1

• x ≠ 2, -1

• x ≠ -2, 2, 1

• (-∞, -4)U(-4,-2)U(-2,∞)

• (-∞, 2)U(2,4)U(4,∞)

• All real numbers

• Hint: The domain is not all Real Numbers bc there is a HOLE and a Vertical Asymptote. Find the Hole and Vertical Asymptote and exclude those values.

Find the domain for the function. f(x)= 2x -1 / 3x + 6

• x cannot equal to 2

• x cannot equal to -2

• x cannot equal to 3

• All real numbers

Identify the domain of the following rational function.

• All real numbers

• All real numbers except x=-1

• All real numbers except x = 2 and -1

Which value of x makes the expression undefined?

• -2

• 2

• -6

• -3

Simplify.

• 2p

• p/2

• 2/p

• 4p