Find the Domain Restrictions for Rational Functions

State the domain restrictions.

• x ≠ 3, -2, 6, -1

• x ≠ -1, 6

• x ≠ 3, -2

• No Domain Restrictions

To find the domain of a rational function, you must.......

• .......set the denominator equal to zero, solve for the variable, then exclude those answers from the implied domain

• .......set the numerator equal to zero, solve for the variable, then exclude those answers from the implied domain

• .......simplify the expression by cancelling out the common factors

• .......use the 5-step method to factor, then exclude the factor(s) from the implied domain

What values will make the rational expression undefined?

• None

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 of the rational function?

What is the domain of the rational function?

What is the domain?

• (-∞, ∞)

• (-∞, -3) υ (-3, ∞)

• (-∞, 1) υ (1, ∞)

What is the domain and range?

• D : All real number x ≠ -3
  R: All real number y≠ 1

• D : All real number x ≠ 1
  R: All real number y≠ -3

• D : All real number x ≠ 3
  R: All real number y≠ 1

• D : All real number x ≠ -1
  R: All real number y≠ 3

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,∞)