Graphs of Rational Functions

What are the asymptotes?

• x = -3        y = 1  
• x = 3         y = 1
• x = -3        y = -1
• x = 3         y = -1

Tags

CCSS.HSF-IF.C.7D

What is/are the x-intercepts of this graph?

• (-2,0) and (2,0)
• (-2,0)
• (3,0)
• (2,0) and (3,0

Tags

CCSS.HSF-IF.C.7D

What are the Vertical Asymptotes of...

• x = 0, -5
• x=0, 5
• x = 2, -7
• x = -2, 7

Tags

CCSS.HSF-IF.C.7D

Where does a hole in the graph occur?

• x= 4
• x= -4
• x= 5
• x= -5

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

What is/are the vertical asymptote(s)?

• There are no vertical asymptotes
• x=5
• x=-5
• x=-1/2

Tags

CCSS.HSF-IF.C.7D

What is the Vertical Asymptotes? 

• x= -5
• x= 5
• x= 6
• x= -6

Tags

CCSS.HSF-IF.C.7D

• The degree of the numerator is greater than the degree of the denominator. "Top-heavy"

• The degree of the numerator is equal to the degree of the denominator.

• The degree of the numerator is less than the degree of the denominator. "Bottom-heavy"

• Rational functions can never have horizontal asymptotes at y=0.

Tags

CCSS.HSF-IF.C.7D

Find the horizontal asymptote.

• None
• y = 0
• y = -1/3
• y = -3

Tags

CCSS.HSF-IF.C.7D

Find the horizontal asymptote of f(x)

• None

• y=6

• y=1/3

• y=3

Tags

CCSS.HSF-IF.C.7D