PreCalc Graphing Rational Functions

A rational function is...? 

• A line that continually approaches a given curve but does not meet it any finite distance
• The top of a rational expression
• The bottom of a rational expression
• Made up of a ratio (fraction) of two polynomials

The holes of a rational function occur when :

• my pencil pokes a hole in the paper I'm working on
• there is something left in the denominator
• the value of f(0)
• a factor in the denominator cancels with a factor in the numerator

Tags

CCSS.HSA.APR.D.6

Find the horizontal asymptote.
4x-16
_________
x²-16

• y=2
• y=1
• y=0
• none

Find the vertical asymptote:
G(x)=  -x²+1 / x²-5x+6

• y=-1
• x=2, x=3
• y=1
• none

Which asymptote(s) are determined by looking at the denominator?

• vertical
• horizontal
• slant
• none

Find the horizontal asymptote.
4x-16
_________
x²-16

• y=2
• y=1
• y=0
• none

What are the asymptotes?

• x=-3, y=1
• x=3, y =1
• x=-3, y =-1
• x=3 y=-1

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x=-1 y = -3
• x=1 y = -3
• x=-1 y =3
• x=1, y=3

Tags

CCSS.HSF-IF.C.7D

The horizontal asymptote equals zero when:

• the exponents in the numerator and denominator are equal
• the exponents in the numerator are less than the denominator
• the exponents in the numerator are greater than the denominator
• the numerator equals zero

Tags

CCSS.HSF-IF.C.7D

What is the Y-Intercept?

• None
• (0, 0)
• (0, 1)
• (0, 5/4)

Tags

CCSS.HSF-IF.C.7D