Rational Function Hole

Select all the information that applies to the given rational function.

• V.A. at x = -3 and x = 1

• Hole at (1, 0)

• H.A. at y = 2

• x-intercepts at (3,0) and (1, 0)

Tags

CCSS.HSF-IF.C.7D

Graph the function.

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D

• A hole occurs where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

• To finish finding the coordinates of a hole, place the x value in the reduced equation

Tags

CCSS.HSF-IF.C.7D

Identify the x-value of the hole(s).

• x=0

• x=-3

• x=6

• x=-7

• x=3

Tags

CCSS.HSF-IF.C.7D

Determine the x-coordinate of the hole on the graph of 
f(x)= (x²-2x + 1)/(x²+2x - 3)

• -1

• 3

• 1

• -3

Tags

CCSS.HSF-IF.C.7D

Where are the holes in the function?

• x = 4

• x = -4

• x = 2

• x = -2

Tags

CCSS.HSF-IF.C.7D

What creates a hole in the graph of a rational function?

• Crossing the x-axis

• An absence of dirt.

• Crossing a vertical asymptote.

• A factor that cancels out.

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

• a

• b

• c

• d

Tags

CCSS.HSF-IF.C.7D

where are the holes in the rational function?

• x = 3

• x = -3

• x = 4

• x = -4

Tags

CCSS.HSF-IF.C.7D