Finding the Domain for Rational Functions Expressions

All real numbers except those for which make the denominator equal zero

• Domain (of a rational function)

• asymptote

• GCF

• LCM

What makes the denominator equal zero

• domain restriction

• least common denominator

• extraneous solution

• point of discontinuity

State the domain restrictions. 

• x ≠ -2

• x ≠ 2, 1

• x ≠ 2, -1

• x ≠ -2, 2, 1

What is the domain of the rational function?

What is the domain of the rational function?

The domain of f(x) is ​ ​ ​ ​ (a)  

• (-∞,-1) U (-1,5) U (5,∞)

• (-∞,-1) U (5,∞)

• (-∞,∞)

• (-∞,-3) U (-3,-1) U (-1,2) U (2,5) U (5,∞)

• (-∞,-5) U (-5,1) U (1,∞)

• (-∞,-5) U (5,∞)

• (-∞,7) U (7,19) U (19,∞)

State the domain restrictions.

• x ≠ 3, -2, 6, -1

• x ≠ -1, 6

• x ≠ 3, -2

• No Domain Restrictions

Find the excluded value(s).

• n = 0

• n = 24

• n = -24

• n can be any real number

Find the excluded value(s).

• a = 0

• a = 10

• a = 1

• a = -1

Find the excluded value(s).

• v = 5

• v = 10

• v = -25

• v = -5