Rational Functions

What are the x-intercepts?

• x= 2/3
• x= 4, x = -2
• x= -8, x = 1
• x= -4, x = 2

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

What is the horizontal asymptote to this function?

• y=4
• y=0
• y=-2
• y=1

Tags

CCSS.HSF-IF.C.7D

Where is the point discontinuity?

• x=2

• x=2 and x=3

• x=-3

• x=3

Find the horizontal asymptote.

• None
• y=-2
• y=2
• y=0

Tags

CCSS.HSA.APR.D.6

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain?

• x ≠ 3

• x ≠ -1

• x ≠ 3, -1

• x ≠ 3, 1

Tags

CCSS.HSA.APR.D.7

CCSS.HSF.IF.B.5

Graph the function.

 $f\left(x\right)=\frac{-x+1}{x-4}$  

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

Find the oblique asymptote.

• y = 3x - 12
• y = x + 5
• y = 3x - 5
• y = 3x - 7

Tags

CCSS.HSA.APR.D.6

What is the Oblique asymptote for the equation
 $f\left(x\right)=\frac{x^2-4x+2}{x+3}$  

• y = x -1

• y = x -7

• y = -7x + 23

• y = -2x + 2

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

• Vertical Asymptote at x = 2

• No Holes

• Horizontal Asymptote at y = -1/3

• y-intercepts at (0, 1/2)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• Oblique Asymptote at y = x + 5

• y-intercept at (0,0)