PreCalculus: Graphing Rationals

What is the vertical asymptote of the graph?

• x=3

• x=2/3

• x=-3

• x=1

• x=-1

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote of the graph?

• y=-1

• y=-3

• y=3

• y=1

• y=2/3

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

What is/are the vertical asymptote(s)?

• x=-2

• x=2 and x=3

• x=-3

• x=3

Tags

CCSS.HSF-IF.C.7D

Determine the x-coordinate of the hole on the graph of :
 $f\left(x\right)=\frac{x^2-2x+1}{x^2+2x-3}$  

• -1

• 3

• 1

• -3

Tags

CCSS.HSF-IF.C.7D

The horizontal asymptote equals zero when:

• the degree of the numerator and denominator are equal

• the degree in the numerator is less than the denominator

• the degree in the numerator is greater than the denominator

• the degree in the numerator is 2

Tags

CCSS.HSF-IF.C.7D

 $g\left(x\right)=\frac{4x-16}{x^2-16}$  

Find the horizontal asymptote of the function.

• y=2

• y=1

• y=0

• none

Tags

CCSS.HSF-IF.C.7D

What is the y-Intercept?

• (0, 5)

• (0, -6)

• (0, 1)

• (0, -5/6)

Tags

CCSS.HSF-IF.C.7D

 $f\left(x\right)=\frac{x^2-5x+6}{x^2-4x+3}$  

Find the x-intercept(s) for the function. Check all that apply.

• (2,0)

• (3,0)

• (1,0)

• (0,2)

Tags

CCSS.HSF-IF.C.7D

Which asymptote is determined by looking at the denominator?

• vertical

• horizontal

• oblique

• none

Tags

CCSS.HSF-IF.C.7D