Key Features of the Graphs of Rational Functions

What is the point of discontinuity?

• x = -3

• (-3,2)

• x = -5

• (3,8)

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.

What is the VERTICAL asymptote of this function? (click on the graph to enlarge)

• x=1

• x=-3

• y=1

• y= -3

What is the HORIZONTAL asymptote of this function? (click on the graph to enlarge)

• x=1

• x=-3

• y=1

• y= -3

What are the asymptotes?

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

What is/are the vertical asymptote(s)?

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

What is the horizontal asymptote of the function given?

• y = 2
• x = 1
• x = 2
• y = 1

What are the Vertical Asymptotes of...

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

What is the Horizontal Asymptote?

• None
• y= 0
• y= 1
• y= 5/4

What is the hole?

• x= 4
• x= -4
• x= 5
• x= -5