Graphing Rational Functions Practice Part 1

What is the hole of the function  $f\left(x\right)=\frac{x^2-x-6}{x^2-2x-3}$  ?

• (3, 5/4)

• (-3, 1/2)

• (-2, 0)

• (2, 4/3)

Tags

CCSS.HSF-IF.C.7D

What is the vertical asymptote of the function  $f\left(x\right)=\frac{x^2-x-6}{x^2-2x-3}$ ?

• x = 3

• x = -3

• x = -2

• x = -1

Tags

CCSS.HSF-IF.C.7D

What is the x-intercept of the function  $f\left(x\right)=\frac{x^2-x-6}{x^2-2x-3}$  ?

• (-2, 0)

• (0, -2)

• (2, 0)

• (0, 2)

Tags

CCSS.HSF-IF.C.7D

What is the y-intercept of the function  $f\left(x\right)=\frac{x^2-x-6}{x^2-2x-3}$  ?

• (0, 2)

• (2, 0)

• (-2, 0)

• (0, -2)

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote of the function  $f\left(x\right)=\frac{x^2-x-6}{x^2-2x-3}$ ?

• y = 1

• y = 0

• No Horizontal Asymptote

• y = 2

Tags

CCSS.HSF-IF.C.7D

What is the domain of the function  $f\left(x\right)=\frac{x^2-x-6}{x^2-2x-3}$ ?

•  $x\ne3,\ -1$  

•  $x\ne\frac{5}{4},\ 1$  

•  $x\ne-3,\ 1$  

•  $x\ne-\frac{5}{4},\ -1$  

What is the range of the function  $f\left(x\right)=\frac{x^2-x-6}{x^2-2x-3}$ ? 

•  $y\ne\frac{5}{4},\ 1$  

•  $y\ne3,\ -1$  

•  $y\ne-\frac{5}{4},\ -1$  

•  $y\ne-3,\ 1$