Quiz: Rational Equations

What are the asymptotes?

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

What are the asymptotes?

• x=1, x= 2, y =1, y= 2
• x= 2, x=-2, y = 1
• x=2 y =-1
• x=1 y =2, y =-2

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

• vertical
• horizontal
• slant
• none

Find the vertical asymptote(s).

• None
• x = 0
• x= 4
• x = -4, 4

What is the horizontal asymptote? 

• x = 2
• y = 2
• x = 1
• y = 1

Match the graph to the correct rational equation below.

• f(x)=-8/(x+2)  +  2
• f(x)=8/(x-2)  +  2
• f(x)=1/(x+2)  +  2
• f(x)=-1/(x+2)  -  2

Which of the following represent the graph?

• 
• 
• 
• 

• All Reals Except 0
• All Reals
• All Reals Except -3
• All Reals Except 0 and -3

 $y=\frac{3}{x-5}+4$  What is the Domain and Range of the this function

• Domain: All Real Numbers
  Range: All Real Numbers

• Domain: All reals except 4
  Range: All Reals except 5

• Domain: All Reals except 5
  Range: All Reals except 4
  

• Domain: All Reals except -5
  Range: All Reals except 4

Describe all transformations from the parent function g(x)=1/x to f(x).

• Shift right 5 and shift up 7
• Shift left 7 and shift up 5
• Reflect over the x-axis, shift up 7
• Shift left 5 and shift up 7