Rational Function -Test Review

Suppose that x and y vary inversely. Write a function that models each inverse variation if x = 6 when y = 2.

• y = 12 / x

• y = x / 12

• y = 3 / x

• y = x / 3

What does the 3 in the function shown do to the parent function $f\left(x\right)=\frac{1}{x}$   ?

• moves the graph 3 units up

• moves the graph 3 units to the right

• moves the graph 3 units to the left

• moves the graph 3 units down

What is the Vertical Asymptotes? 

• x= -5
• x= 5
• x= 6
• x= -6

What are the asymptotes?

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

What are the asymptotes?

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

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

Describe the transformations of the function.

• Shift up by 2 units

  Reflected over the x-axis

• Shift down by 2 units

  Reflected over the y-axis

• Shift up by 2 units

  Reflected over the y-axis

• Shift left by 2 units

  Reflected over the x-axis

What is the horizontal asymptote? 

• x = 2
• x = 7
• y = 2
• y = 7

Solve for x in $\frac{x+2}{8}=\frac{3}{4}\$  .

•  $x=4$  

•  $x=-4$  

•  $x=2$  

•  $x=\frac{1}{4}$  

Solve for x in $\frac{-2}{x+4}=\frac{\text{4}}{x+3}\$  .

•  $x=-\frac{11}{3}$  

•  $x=-\frac{13}{6}$  

•  $x=\frac{22}{6}$  

•  $x=-\frac{8}{3}$