Steps for Graphing Rational Functions

What is the first step in graphing rational functions?

• Vertical Asymptotes

• X-intercepts

• Factor

• End behavior model

Tags

CCSS.HSF-IF.C.7D

How do you find holes in a rational function?

• Factors that cancel

• Set denominator = 0

• Set numerator = 0

• Substitute 0 for x

Tags

CCSS.HSF-IF.C.7D

How do you find vertical asymptotes in a rational function?

• Substitute 0 for x

• Set denominator = 0

• Set numerator = 0

• Factors that cancel

Tags

CCSS.HSF-IF.C.7D

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.HSF-IF.C.7D

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.HSF-IF.C.7D

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.HSF-IF.C.7D

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.HSF-IF.C.7D

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.HSF-IF.C.7D

When would a rational function have a slant asymptote?

• bottom heavy

• top heavy

• equal

• NEVER!

Tags

CCSS.HSF-IF.C.7D

What's your favorite fast food restaurat.

• Chipotle

• Chick-fil-a

• Wendy's

• McDonalds

• Burger King