Rational Function Hole

The graph of the function of f(x) has​ (a)   ...

• 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

Where is the hole in this graph?

• x = -3

• x = 3

• x = 5

• None

Tags

CCSS.HSF-IF.C.7D

• is not

• no hole

• is

• x= 2

• x= -2

• x=4

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

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

• -4

Tags

CCSS.HSF-IF.C.7D

Is there a hole or a vertical asymptote?

• A hole when x = 2

• A vertical asymptote at x = 2

• there is no hole or vertical asymptote

Tags

CCSS.HSF-IF.C.7D

Find the vertical asymptote(s).

• x = 3 and x = -7

• x = 3

• x = -7

• x = -4

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

Find the vertical asymptotes and holes of the function.

• Holes: None;

  VA: x = 1, -3

• Holes: x = -3;

  VA: x = 1

• Holes: x = -3, 1

  VA: None

• Holes: x = 1

  VA: x = -3

Tags

CCSS.HSF-IF.C.7D