Graphs of Rational functions

What are the asymptotes?

• x = -3        y = 1  
• x = 3         y = 1
• x = -3        y = -1
• x = 3         y = -1

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

What is the horizontal asymptote of the function given?

• y = 2
• x = 1
• x = 2
• y = 1

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which asymptote(s) are determined by looking at the denominator?

• vertical
• horizontal
• slant
• none

Tags

CCSS.HSF-IF.C.7D

What is the domain and range?

• D : All real number x ≠ -3
  R: All real number y≠ 1
• D : All real number x ≠ 1
  R: All real number y≠ -3
• D : All real number x ≠ 3
  R: All real number y≠ 1
• D : All real number x ≠ -1
  R: All real number y≠ 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Choose the correct graph that matches with the equation.

• A

• B

• C

• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Which is the graph of the rational equation:

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

What are the asymptotes?

•  $x=1,\ y=0$  

•  $x=0,\ y=1$ 

•  $x=0,\ y=0$ 

•  $No\ asymptotes$ 

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

This graph is  $y=\frac{1}{x+3}$ , what is the y-intercept?

•  $\left(0,\frac{1}{3}\right)$ 

•  $\left(\frac{1}{3},0\right)$ 

•  $y=\frac{1}{3}$ 

•  $\left(0,\ \frac{1}{2}\right)$ 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Does this graph have any intercepts?

• yes

• no

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

For this graph what is the the y int

•  $\left(0,\frac{1}{2}\right)$ 

•  $\left(\frac{1}{2},\ 0\right)$ 

•  $\left(0,-1\right)$ 

•  $\left(-1,0\right)$ 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7