Finding Domain of Rational Functions

How can you find the domain of a Rational Function?

• By finding the range

  of the numerator

• By factoring the numerator and

  denominator

• By multiplying by the

  reciprocal of the denominator

• The domain is always ALL REAL

  NUMBERS

• All Reals Except 0

• All Reals

• All Reals Except -3

• All Reals Except 0 and -3

What is the domain?

• All real numbers

• All real numbers except 4

• All real numbers except 2

• All real numbers except 2 and -2

What is the domain of the rational function?

What is the domain of the rational function?

What is the domain?

• All real numbers except 1/2

• All real numbers

• All real numbers except -4

• All real numbers except 4

What is the domain?

• (-∞, ∞)

• (-∞, 1) U (1,∞)

• (-∞, 2) U(2, ∞)

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,∞)

What is the domain?

• (-∞, ∞)

• (-∞, -3) υ (-3, ∞)

• (-∞, 1) υ (1, ∞)

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,∞)