Attributes of Rational Functions

What is the name of this function?

• Parabola

• Rational Function 

• Ellipse 

• Cubic 

• The degree of the numerator is greater than the degree of the denominator. "Top-heavy"

• The degree of the numerator is equal to the degree of the denominator.

• The degree of the numerator is less than the degree of the denominator. "Bottom-heavy"

• Rational functions can never have horizontal asymptotes at y=0.

Determine the vertical asymptote & domain:f(x)=(x+4)/(2x-5)

Find the horizontal asymptote of the rational function:

• y = 0

• y = 1

• None

• y = 3/2

What is the X-Intercept of the rational function?

• x= 0

• x= 4

• x= 5

• x= -5

What is the horizontal asymptote to this rational function?

• y=4

• y=0

• y=-2

• y=1

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

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

• Numerator

• Denominator

• Right side 

• Left side

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