Unit 4 Quiz

What is the domain?

 $\frac{x^2-x-12}{2x^3-32x}$  

• All real numbers except 0, -4, 4

• All real numbers except 0 and -4

• All real numbers except -4 and 4

• All real numbers except 2, -4, 4

SELECT ALL THAT APPLY: 

 Which of the following are excluded values?

 $\frac{x^2-1}{2x^2+3x-5}$  

•  $-1$ 

•  $1$ 

•  $-\frac{5}{2}$  

•  $\frac{5}{2}$  

Simplify.

 $\frac{20x^3}{5x+10}$  

•  $\frac{4x^3}{\left(x+2\right)}$ 

•  $\frac{4x^3}{\left(x+10\right)}$  

•  $\frac{2x^3}{\left(5x+1\right)}$ 

•  $\frac{2x^3}{\left(x+5\right)}$ 

Simplify.

 $\frac{x+9}{x^2-81}$  

• 
  

  $\frac{\left(x-9\right)}{\left(x+9\right)}$

• $\frac{1}{\left(x-9\right)}$

• $\left(x+9\right)$

• $\frac{1}{\left(x+9\right)}$

Multiply and Simplify.

 $\frac{1}{a-5}\cdot\frac{5a-25}{a+9}$  

•  $\frac{5a-25}{\left(a-5\right)\left(a+9\right)}$ 

•  $\frac{5}{\left(a+9\right)}$ 

•  $\frac{5a-25}{\left(a+9\right)}$ 

•  $\frac{1}{\left(a+9\right)}$ 

Divide and Simplify.

 $\frac{6}{k-4}\div\frac{k+6}{k^2+2k-24}$  

• 
  

   $\frac{9}{k-4}$  
  

•  $\frac{k+7}{8}$  
  

•  $6$  
  

•  $k-3$  
  

Multiply and Simplify.

 $\frac{x^2+4x-5}{x-3}\cdot\frac{x-3}{10x+50}$  

• 
  

   $\frac{x-2}{\left(x-6\right)\left(x+8\right)}$  
  

•  $\frac{4}{x+7}$  
  

•  $x\left(x-4\right)$  
  

•  $\frac{x-1}{10}$  
  

Multiply and Simplify.

 $\frac{n^2+10n+9}{80}\cdot\frac{8}{n^2+10n+9}$  

• 
  

   $64$  
  

•  $\frac{27n^3}{n+6}$  
  

•  $\frac{1}{10}$  
  

•  $\frac{7n\left(n+10\right)}{6}$  
  

What is the horizontal asymptote?

 $f\left(x\right)=\frac{x^2+3x}{-4x^2-4x}$  

•  $y=0$  

•  $y=-\frac{1}{4}$  

• None
  

•  $y=-4$  

What is the point of discontinuity?

 $f\left(x\right)=\frac{x^2+3x}{-4x^2-4x}$  

•  $\left(0,\ -\frac{3}{4}\right)$  

•  $\left(0,\ 0\right)$  
  

• None
  

•  $\left(-\frac{1}{4},\ 0\right)$