Rational Functions Test Review

Choose all of the functions that have a hole:

•  $f\left(x\right)=\frac{x^2+7x}{x^2-6x-7}$  

•  $f\left(x\right)=\frac{\left(x+8\right)\left(x-2\right)}{\left(x+2\right)\left(x+8\right)}$  

•  $f\left(x\right)=\frac{x-5}{\left(x+5\right)\left(x-1\right)}$  

•  $f\left(x\right)=\frac{x^2-9}{2x-6}$  

•  $f\left(x\right)=\frac{x^2+3x}{5x}$  

Which statements are true for the given rational function.

Do all of the steps.

Select all that apply.

• The horizontal asymptote is at y = 0.

• There is a hole at (6, ¾ ).

• The vertical asymptote is at x = -2.

• The x and y intercepts are at the origin.

• The domain is all real numbers except -2.

Choose all of the functions that have a horizontal asymptote at y=1

• $f\left(x\right)=\frac{x^2}{x^2-1}$

• $f\left(x\right)=\frac{x^2+5}{x+5}$

• $f\left(x\right)=\frac{2x\left(x-4\right)}{\left(x+1\right)\left(2x-3\right)}$

• $f\left(x\right)=\frac{3x}{3x^2-3}$

What is the equation of the rational function graphed?

• 
• 
• 
• 

Add

• A

• B

• C

• D

Find the vertical asymptote(s).

• x = 3 and x = -7

• x = 3

• x = -7

• x = -4

• a
• b
• c
• d

Solve for n

• - 2, - 1
• - 5, - 1
• - 2
• - 2, - 2/3

 $\frac{m^2+m-30}{m^2+13m\ +42}\div\frac{m-2}{m+7}$  Simplify

•  $\frac{m-5}{m-2}$  

•  $\frac{\left(m-5\right)\left(m-2\right)}{\left(m+7\right)^2}$  

•  $\frac{m^2+2m-32}{m^2+14m+49}$  

•  $\frac{-5}{2m^2}$  

Divide

• A

• B

• C

• D