Graphing Rationals Warm-Up

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

What is/are the vertical asymptote(s)?

• x=-2
• x=2 and x=3
• x=-3
• x=3

Tags

CCSS.HSF-IF.C.7D

When is there no horizontal asymptote?

• the exponents in the numerator and denominator are equal

• the exponents in the denominator are greater than the numerator

• the exponents in the numerator are greater than the denominator

• the numerator equals zero

Which asymptote(s) are determined by looking at the denominator?

• vertical

• horizontal

• none

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

• (-2,0) and (2,0)

• (-2,0)

• (3,0)

• (2,0) and (3,0)

This rational function has a horizontal asymptote at:

• y = 0

• y = 1

• y =7

• It has no HA

Find the hole of this function (if there is one).

• None

• (-4, 7/16)

• (4, 0)

• (1/2, 7/18)

What is the y-intercept?

• (0,1)
• (0,1/9)
• (0,-1/9)
• (0,-1)

Tags

CCSS.HSF-IF.C.7D

Match the graph to the correct rational equation below.

• f(x)=x²/(x²+x-12)
• f(x)=4x²/(x²-x-12)
• f(x)=(2x²-2)/2x²
• f(x)=x/(x²+x-12)

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote to this function?

• y=1

• y=0

• none

• y=4