Alg2 PAP Week 9: Rational Graphs (Shratey)

Find the vertical asymptote(s) of the given equation: $y=\frac{2x^2-9x-5}{x-5}$  

• There are no vertical asymptotes

• x=5

• x=-5

• x=-1/2

What is the horizontal asymptote of $y=\frac{x^2-25}{x^2-x-20}$ ? 

• None

• y= 0

• y= 1

• y= 5/4

What is removeable discontinuity found in the graph of  $y=\frac{x^2-25}{x^2-x-20}$  ?

• x= 4

• x= -4

• x= 5

• x= -5

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

• y=16

• y=4

• y=0

• none

Find the vertical asymptote(s) $y=\frac{x^2-4}{x^2-5x+6}$  

• x=-2

• x=2 and x=3

• x=-3

• x=3

Find the x-intercept(s) of $y=\frac{x^2-4}{x^2-5x+6}$ 

• (-2,0) and (2,0)

• (-2,0)

• (3,0)

• (2,0) and (3,0