Rational Function

Rational Function

WRAP UP -

Are you ready for the assessment?

Let's begin

Multiple Choice

 Graph the function.

 $f\left(x\right)=\frac{-2x^2+2x+24}{x^3-x^2-12x}$ 

Multiple Choice

Graph the function.

 $f\left(x\right)=\frac{-x+1}{x-4}$  

Multiple Select

Select ALL the information that applies to the given rational function. $f\left(x\right)=\frac{x^3+2x^2-3x+5}{x^2-3x+4}$  

• Vertical Asymptote at x = 3 and x = -1

• No Holes

• Slant (Oblique) Asymptote at y = x + 5

• y-intercept at (0,0)

Multiple Select

 Select ALL the information that applies to the given rational function. $f\left(x\right)=\frac{1}{-3x^2-9}$ 

• No Vertical Asymptote

• No Holes

• Slant (Oblique) Asymptote at  $y=x-3$  

• No x-intercept

Multiple Select

Select ALL the information that applies to the given rational function. $f\left(x\right)=\frac{x^2-x}{-4x+16}$  

• Vertical Asymptote. at x = -1

• No Holes

• Horizontal Asymptote. at y = -1/4

• x-intercepts at (0,0) and (-1,0)

Multiple Select

Select ALL the information that applies to the given rational function.
 $f\left(x\right)=\frac{x-3}{-2x^2+8x-6}$  

• Vertical Asymptote. at x = 1

• No Holes

• Horizontal Asymptote. at y = 0

• y-intercept at (0, 1/2)

Multiple Choice

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

• -4

• -3

• 3

• there isn't one

Multiple Choice

What are the x and y intercepts?

• (4, 0) and (0, -4)

• (-4, 0) and (0, -4)

• (-4, 0) and (0, 4)

• (0, 0) and (0, -4)

Multiple Choice

What is the equation of the slant asymptote?

• y = x - 4

• y = 4x - 4

• y = 4x + 16

• there isn't one

Multiple Choice

What is the equation of the slant asymptote?

• y = x + 1

• y = x + 2

• y = x + 3

• y = x

Multiple Choice

What are the coordinates of the y-intercept, if one exists.

• (0, 0)

• (0, 1)

• (0, -1)

• there isn't one

Multiple Choice

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

• (1, 0)

• (-1, 0)

• (1, 0), (-1, 0)

• (0, 0), (1, 0)

Multiple Choice

What is the domain?

• x ≠ 3

• x ≠ -1

• x ≠ 3, -1

• x ≠ 3, 1

Multiple Choice

What are the coordinates of the hole, if one exists.

• (-1, -2)

• (-1, ½)

• (-1, -½)

• there isn't one

Multiple Choice

Find the horizontal asymptote.

• None
• y=-2
• y=2
• y=0

Multiple Choice

What is the horizontal asymptote of the function given?

• y = 2

• x = 1

• x = 2

• y = -1

Multiple Choice

What is the horizontal asymptote?

• x = 2

• x = 7

• y = 2

• y = 7

Multiple Choice

What are the asymptotes?

• x=1, x= 2, y =1, y= 2

• x= 2, x=-2, y = 1

• x=2 y =-1

• x=1 y =2, y =-2

Multiple Choice

What is the X-Intercept?

• x= 0

• x= 4

• x= 5

• x= -5

Multiple Choice

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

Multiple Choice

What's the vertical asymptote of the function?

• x = 4

• x = 16

• x = 4 , x = -4

• No vertical asymptote

Multiple Choice

What's the vertical asymptote of the function?

• x = 5

• x = 0

• x =5 , x = -5

• x = 25

Multiple Choice

What's the vertical asymptote of the function?

• x = -9

• x = 9

• x = 3 , x = -3

• x = 3

Multiple Choice

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1/2

• y = 1

Multiple Choice

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1

• y = 9

Multiple Choice

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 2

• y = 4

Multiple Choice

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

Multiple Choice

Select the graph that show the corresponding vertical & horizontal asymptotes to this function