Domain and Range of Rational Functions

• The ones that would make the function undefined.

What process do we have to do first in order to obtain the range of a rational function without the aid of its graph?

• Find the reciprocal of the function.

• Find the inverse of the function.
  

• Find the function x in terms of y.

• Find the solution of the function.

What is the domain and range?

• D: All real numbers x ≠ -3

  R: All real numbers y≠ 1

• D: All real numbers x ≠ 1

  R: All real numbers y≠ -3

• D: All real numbers x ≠ 3

  R: All real numbers y≠ 1

• D: All real numbers x ≠ -1

  R: All real numbers y≠ 3

State the Domain and Range.

• D: All real numbers x ≠ -5

  R: All real numbers y ≠ -7

• D: All real numbers x ≠ -5

  R: All real numbers y ≠ 7

• D: All real numbers x ≠ 5

  R: All real numbers y ≠ -7

• D: All real numbers x ≠ 5

  R: All real numbers y ≠ 7

State the Domain and Range.

• D:  x ≠ 5 , and  R:  y ≠ 7

• D:  x ≠ -5 , and  R:  y ≠ 7

• D:  x ≠ 5 , and  R:  y ≠ -7

• D:  x ≠ 7 , and  R:  y ≠ 5

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? 

• x≠ -5,5

• x≠ -5,4

• x≠ -4,5

• x≠ -4,-5

What is the domain of this rational fuction?

• All real numbers x ≠ -1

• All real numbers x ≠ 1

• All real numbers x ≠ 0

• All real numbers

• All real numbers x ≠ 2

• All real numbers x ≠ -1

• All real numbers x ≠ 1

• All real numbers