PC - Quiz - Graphing Rational Functions

Determine the x-intercept(s) of the function.

 $f\left(x\right)=\frac{10x+20}{x^2+6x+8}$  

•  $None$  

•  $\left(-2,0\right)$  

•  $\left(-4,0\right)\ and\ \left(-2,0\right)$  

•  $\left(0,0\right)$  

Determine the y-intercept of the function.

 $f\left(x\right)=\frac{10x+20}{x^2+6x+8}$  

•  $\left(0,2.5\right)$  

•  $None$  

•  $\left(0,0\right)$  

•  $\left(0,-2\right)$  

Determine the vertical asymptote(s) of the function.

 $f\left(x\right)=\frac{10x+20}{x^2+6x+8}$  

•  $x=-4$  

•  $x=-4\ and\ x=-2$  

•  $x=0$  

•  $None$  

Determine the horizontal asymptote for the function.

 $f\left(x\right)=\frac{10x+20}{x^2+6x+8}$  

•  $y=0$  

•  $y=-4$  

•  $y=10$  

•  $None$  

Determine the location of any holes in the function.

 $f\left(x\right)=\frac{10x+20}{x^2+6x+8}$  

•  $\left(-2,\ 5\right)$  

•  $\left(2,\ \frac{5}{3}\right)$  

•  $\left(0,2.5\right)$  

•  $None$  

Determine the domain of the function.

 $f\left(x\right)=\frac{10x+20}{x^2+6x+8}$  

•  $x\ne-2,\ -4$  

•  $x\ne0$  

•  $x\ne-2$  

•  $x\ne-4$  

Determine the range of the function.

 $f\left(x\right)=\frac{10x+20}{x^2+6x+8}$  

•  $y\ne0,\ 5$  

•  $y\ne0$  

•  $y\ne2.5$  

•  $y\ne5$