Polynomial & Rational Functions Quiz

What is the vertical asymptote of the function

 $f\left(x\right)=\frac{3x}{2x-8}$  ?

•  $x=8$  

•  $x=4$  

•  $y=\frac{3}{2}$  

•  $y=0$  

What is the horizontal asymptote of the function

 $f\left(x\right)=\frac{3x}{2x-8}$  ?

•  $x=8$  

•  $x=4$  

•  $y=\frac{3}{2}$  

•  $y=0$  

Is the degree of the function on the graph even or odd?

• Even

• Odd

Is the lead coefficient of the function represented on the graph positive or negative?

• Positive

• Negative

Which of the following is NOT a zero of the function

 $f\left(x\right)=x\left(x-2\right)\left(x+3\right)$  

•  $x=2$  

•  $x=-2$  

•  $x=-3$  

•  $x=0$  

Factor

 $x^3-27$  

•  $\left(x-9\right)\left(x^2+9x+27\right)$  

•  $\left(x+3\right)\left(x^2-3x+9\right)$  

•  $\left(x-3\right)\left(x^2+3x+9\right)$  

•  $\left(x-3\right)\left(x^2+9\right)$  

Factor

 $x^3+27$  

•  $\left(x-9\right)\left(x^2+9x+27\right)$  

•  $\left(x+3\right)\left(x^2-3x+9\right)$  

•  $\left(x-3\right)\left(x^2+3x+9\right)$  

•  $\left(x-3\right)\left(x^2+9\right)$  

Which numbers ARE zeros of the function

 $2x^3-16x^2+14x$  ?

 SELECT ALL THAT APPLY.

•  $x=0$  

•  $x=-7$  

•  $x=7$  

•  $x=1$  

•  $x=-1$  

What are the vertical asymptotes of the function

 $f\left(x\right)=\frac{5x}{x^2-7x-18}$  ?


SELECT ALL THAT APPLY.

•  $x=0$  

•  $x=2$  

•  $x=-2$  

•  $x=9$  

•  $x=-9$  

What is the horizontal asymptote of the function

 $f\left(x\right)=\frac{5x}{x^2-7x-18}$  ?

•  $x=0$  

•  $y=0$  

•  $x=-2$  

•  $y=5$