Graphing Rational Functions with Holes

The holes of a rational function occur when :

• my pencil pokes a hole in the paper I'm working on

• there is something left in the denominator

• the value of f(0)

• a factor in the denominator cancels with a factor in the numerator

Tags

CCSS.HSF-IF.C.7D

• 2

• -2

• -6

• 6

Tags

CCSS.HSF-IF.C.7D

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

Identify the hole(s) in the graph.

• There are no holes

Tags

CCSS.HSF-IF.C.7D

Where is the hole in this graph?

• x = -3

• x = 3

• x = 5

• None

Tags

CCSS.HSF-IF.C.7D

Find the y-value of the hole

• None

• 7/16

• -4

• 7/8

Tags

CCSS.HSF-IF.C.7D

• a

• b

• c

• d

Tags

CCSS.HSF-IF.C.7D

Find the x-value of the hole

• x=0

• none

• x=3

• x=-3

Tags

CCSS.HSF-IF.C.7D

What is the x-value if the hole?

• x= -2

• x= 2

• x= 3

• x= -3

Tags

CCSS.HSF-IF.C.7D

What is the hole?

• (4, 9/8)

• (-5, 0)

• (5, 10/9)

• (5, 10)

Tags

CCSS.HSF-IF.C.7D