Graph Rational Functions

What is the point of discontinuity?

• x = -3

• (-3,2)

• x = -5

• (3,8)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.7

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.HSA.APR.B.3

List the operations you would use, in order, to complete the transformation table.

(Read carefully, you have time!)

• Subtract 2 to from x, multiply the y by 5, then add 7 to y.

• multiply the x by 5, add 2 to the x, then add 7 to the y.

• subtract 2 from x and add 7 to y.

• Add 2 to the x , multiply the y by 5, then add 7 to y.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

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

• x=1

• x=-3

• y=1

• y= -3

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

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

• x=1

• x=-3

• y=1

• y= -3

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation of the rational function graphed?

• $f\left(x\right)=\frac{1}{x-2}$

• $f\left(x\right)=\frac{1}{x+2}$

• $f\left(x\right)=\frac{1}{x}+2$

• $f\left(x\right)=\frac{1}{x}-2$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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.HSA.CED.A.2

CCSS.HSF.BF.B.3

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.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Select ALL values that are excluded from the DOMAIN.

• x=1

• x=-1

• y=1

• x=0

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

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.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7