Unit 3A/3B Test Review

Given the graph of the reciprocal function, name the vertical asymptote.

• x= -4

• x= -3

• y= -4

• y= -3

Given the graph of the reciprocal function, name the horizontal asymptote.

• x= -4

• x= -3

• y= -4

• y= -3

If the reciprocal parent function is translated left 5 and up 2, what is the domain?

• {x|x $\ne$ -5}

• {x|x $\ne$ 5}

• {y|y $\ne$ 2}

• {y|y $\ne$ -2}

If the reciprocal parent function is translated right 3 and down 4, write an equation to represent the transformed function.

• $f\left(x\right)=\frac{1}{x+3}-4$

• $f\left(x\right)=\frac{1}{x-3}+4$

• $f\left(x\right)=\frac{1}{x+3}+4$

• $f\left(x\right)=\frac{1}{x-3}-4$

Find the product of  $\frac{x^2-9}{2x^3-5x^2}\ and\ \frac{2x^2+14x}{x^2+4x-21}$  

•  $\frac{2x\left(x+3\right)}{\left(2x-5\right)}$  

•  $\frac{2\left(x+3\right)}{x\left(2x-5\right)}$  

•  $\frac{\left(x+3\right)}{\left(2x-5\right)}$  

Divide  $\frac{x^2+10x+16}{x^2+6x+8}\ by\ \frac{1}{x^2-16}$ 

•  $\left(x+8\right)\left(x-4\right)$ 

•  $\left(x+8\right)$  
  

•  $\left(x+8\right)\left(x+4\right)$  
  

Solve $\frac{3}{x-5}-\frac{20}{x^2-25}=\frac{2}{x+5}$  

Check for extraneous solutions.

• 5

• -5

• No solution

• 1

Solve $\frac{x}{4}=\frac{3}{x-4}$  

Check for extraneous solutions.

• -6, 2

• 6, -2

• 6

• No solution