Rational Functions

What's the horizontal asymptote of the function?

 $f\left(x\right)=\frac{9x^3-3x^2-2x}{9x^2-2}$  

• y = 0

• No horizontal asymptote

• y = 1

• y = 9

What's the vertical asymptote of the function?

 $f\left(x\right)=\frac{x+1}{x^2-25}$  

• x = 5

• x = 0

• x =5 , x = -5

• x = 25

What is the domain?

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

• x ≠ 3

• x ≠ -1

• x ≠ 3, -1

• x ≠ 3, 1

Find the x-intercept(s), if one exists.

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

• (1, 0)

• (-1, 0)

• (1, 0), (-1, 0)

• (0, 0), (1, 0)

Find the y-intercept.

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

• (0, -2)

• (0, 2)

• (0, 4)

• it is undefined

What is the X-Intercept?

 $f\left(x\right)=\frac{4x}{x+5}$  

• x= 0

• x= 4

• x= 5

• x= -5

What is the horizontal asymptote of this function?

 $f\left(x\right)=\frac{x}{2x-6}$  

• y=2

• x=1/2

• y=1

• y=1/2

What is the equation of the vertical asymptote?

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

• x = 0

• x = 4

• x = -1, x = 4

• x = -1

What is the x-coordinate of the hole, if one exists?

 $f\left(x\right)=\frac{x^3-16x}{x^3+4x^2-9x-36}$  

• -4

• -3

• 3

• there isn't one

Where is the removable discontinuity?

 $f\left(x\right)=\frac{x^2-4}{x^2-5x+6}$  

• x=2

• x=2 and x=3

• x=-3

• x=3