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

What are the asymptotes?

• x=-1 y = -3

• x=1 y = -3

• x=-1 y =3

• x=1, y=3

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

What is the Y-Intercept?

• None

• (0, 0)

• (0, 1)

• (0, 5/4)

Tags

CCSS.HSF-IF.C.7D