Domain and Range and Holes of Rational Functions

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What (if any) holes exist?

• x=2

• x=2 and x=3

• x=-3

• x=3

Tags

CCSS.HSF-IF.C.7D

Find the coordinates of the hole.

• (-3, -3)

• (-3, 3)

• (3, -3)

• (3, 3)

Tags

CCSS.HSF-IF.C.7D

What is the domain? 

• x≠ -5,5

• x≠ -5,4

• x≠ -4,5

• x≠ -4,-5

What is the domain of this rational fuction?

Tags

CCSS.HSF-IF.C.7D

• All real numbers

• a hole at (-5, 8.5)

• a hole at (3, 0)

• a hole at (5, 8.5)

• a hole at (-5, 0)

• a hole at (-3, 11)

• a hole at (-3, 0)

• no holes

• a hole at (5, 0)

Tags

CCSS.HSF-IF.C.7D

• All real numbers

• Cannot be determined from the given information

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

The domain and range of the parent function of rational functions is:

• x≥ 0 and y≥0

• x≤ 0 and y≤0

• (−∞,∞) and

  (−∞,∞)

• All nonzero real numbers

• All real numbers