Graphing Rational Functions

The first thing you should do to find all the attributes for a rational function is...

• Factor it all out

• Find the V.A.

• Find the H.A.

• Find the x / y intercepts

Tags

CCSS.HSF-IF.C.7D

How do you determine the Horizontal Asymptote?

• replace all x-values with 0

• replace the y-value with 0 or make the numerator equal 0

• set denominator equal to 0

• compare the degrees of the numerator and denominator

Tags

CCSS.HSF-IF.C.7D

When finding the H.A., if the numerator degree is greater than the denominator degree, the answer is...

• y = 0

• none

• y =a / b

• What's an H.A.?

Tags

CCSS.HSF-IF.C.7D

When finding the H.A., if the numerator degree is equal to the denominator degree, the answer is...

• y = 0

• none

• y =a / b

• What's an H.A.?

Tags

CCSS.HSF-IF.C.7D

A vertical asymptote is found by setting the _________= to zero and solving for x 

• Numerator
• Denominator
• Right side 
• Left side

Tags

CCSS.HSF-IF.C.7D

How do you know if a factor in the denominator is a hole instead of a V.A. ?

• It cancels out

• it equals 0

• you set the numerator equal to 0

• you compare the degrees

Tags

CCSS.HSF-IF.C.7D

How do you find the x-intercept?

• replace all x-values with 0

• replace the y-value with 0 or make the numerator equal 0

• set denominator equal to 0

• compare the degrees of the numerator and denominator

Tags

CCSS.HSF-IF.C.7D

How do you find the y-intercept?

• replace all x-values with 0

• replace all y-values with 0

• set denominator equal to 0

• compare the degrees of the numerator and denominator

What is the equation of the horizontal asymptote?

• y = 0

• y = -2

• y = 2

• There isn't one

Tags

CCSS.HSF-IF.C.7D

What is the equation of the vertical asymptote?

• x = 0

• x = 4

• x = -1, x = 4

• x = -1

Tags

CCSS.HSF-IF.C.7D