Rational Functions - Find intercepts, asymptotes, holes

What is the X-Intercept?

• x= 0
• x= 4
• x= 5
• x= -5

Tags

CCSS.HSF-IF.C.7D

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

How do you find x-intercepts in a rational function?

• Substitute 0 for x

• Set denominator = 0

• Set numerator = 0

• Factors that cancel

Tags

CCSS.HSA.APR.B.3

How do you find y-intercepts in a rational function?

• Substitute 0 for x

• Set denominator = 0

• Set numerator = 0

• Factors that cancel

Tags

CCSS.HSA.REI.D.11

How do you find holes in a rational function?

• Factors that cancel

• Set denominator = 0

• Set numerator = 0

• Substitute 0 for x

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

What would the horizontal asymptote be for the following rational function:

 $f\left(x\right)=\frac{x^2-4x+3}{x^2-2x+1}$  

•  $y=0$  

•  $y=1$  

•  $y=2$  

• none

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What would the horizontal asymptote be for the following rational function:

 $f\left(x\right)=\frac{x^2-4x+3}{x^3-2x+1}$  

•  $y=0$  

•  $y=1$  

•  $y=2$  

• none

Tags

CCSS.HSA.APR.D.7

What would the horizontal asymptote be for the following rational function:

 $f\left(x\right)=\frac{x^3-4x+3}{x^2-2x+1}$  

•  $y=0$  

•  $y=1$  

•  $y=2$  

• none

Tags

CCSS.HSA.APR.D.7

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)

Tags

CCSS.HSA.REI.D.10

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

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

• Hole at (1, 0)

• Horizontal Asymptote at y = 2

• x-intercepts at (3,0) and (1, 0)

Tags

CCSS.HSA.APR.B.3