Graphs of Rational Functions

Write the equation for the graph.

• $y=x$

• $y=x^2$

• $y=\frac{1}{x}$

• $y=\left|x\right|$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write the equation for the graph.

• $y=\frac{1}{x+3}$

• $y=x+3$

• $y=\frac{3}{x}$

• $y=\frac{1}{x-3}$

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Write the equation for the graph.

• $y=\frac{1}{x}$

• $y=-\frac{1}{x}$

Write the equation for the graph.

• $y=\frac{1}{x-1}-2$

• $y=\frac{1}{x+1}+2$

• $y=\frac{1}{x+1}-2$

• $y=\frac{1}{x-2}+1$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

What is the domain of the function?

•  $x=-1$ 

•  $x\ne-1$ 

•  $y=-2$ 

•  $y\ne-2$ 

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the range of the function?

•  $x=-1$ 

•  $x\ne-1$ 

•  $y=-2$ 

•  $y\ne-2$ 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Write the equation for the graph.

• $y=\frac{1}{x+3}$

• $y=\frac{1}{x-3}$

• $y=\frac{1}{x}+3$

• $y=\frac{1}{x}-3$

What is the domain of the function?
 $y=\frac{1}{x}+3$  

•  $y\ne3$ 

•  $y=3$  

•  $x=0$  

•  $x\ne0$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

What is the range of the function?
 $y=\frac{1}{x}+3$  

•  $y\ne3$ 

•  $y=3$  

•  $x=0$  

•  $x\ne0$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write the equation for the graph.

• $y=\frac{1}{x+2}+1$

• $y=\frac{1}{x+2}-1$

• $y=\frac{1}{x-2}+1$

• $y=\frac{1}{x-2}-1$