Graph Rational Functions

What is the point of discontinuity?

• x = -3

• (-3,2)

• x = -5

• (3,8)

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

• x=1

• x=-3

• y=1

• y= -3

Tags

CCSS.HSF-IF.C.7D

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

• x=1

• x=-3

• y=1

• y= -3

Tags

CCSS.HSF-IF.C.7D

Suppose you translate the graph of  $y=\frac{3}{x}$   so that the new graph has asymptotes at x= -5 and y=14. What is the equation for the new graph?

•  $y=\frac{3}{x-5}-14$  

•  $y=\frac{3}{x+5}+14$  

•  $y=\frac{3}{x-14}-5$  

•  $y=\frac{3}{x+14}+5$  

Tags

CCSS.HSF-IF.C.7D

What is the DOMAIN?

•  $\left(-\infty,-3\right)U\left(-3,\infty\right)$ 
  

•  $\left(-\infty,1\right)U\left(1,\infty\right)$  

•  $\left(-\infty,-3\right)U\ \left(-3,\ 1\right)\ U\left(1,\infty\right)$  

• All Real Numbers

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Select ALL values that are excluded from the DOMAIN.

• x=1

• x=-1

• y=1

• x=0

Tags

CCSS.HSF-IF.C.7D

What is the RANGE?

•  $\left(-\infty,-3\right)U\left(-3,\infty\right)$ 
  

•  $\left(-\infty,1\right)U\left(1,\infty\right)$  

•  $\left(-\infty,-3\right)U\ \left(-3,\ 1\right)\ U\left(1,\infty\right)$  

• All Real Numbers

Tags

CCSS.HSF-IF.C.7D

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 2

• y = 4

Tags

CCSS.HSF-IF.C.7D

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1

• y = 9

Tags

CCSS.HSF-IF.C.7D