Rational Function

Vocab

100

What is a rational function

An equation in the form of y or f(x)= p(x)/q(x) where p(x) & q(x) are polynomials & q(x) cant equal zero

200

What is Excluded Value

Any given number for a variable that will make the denominator equal to zero

300

What is Asymptote

A line that a graph approaches

400

What is a Rational parent function

Example: y= 1/x

Excluded Values

100

x cant equal -6

y= 4/x+6 State the excluded value

200

x cant equal -5

y=7/5x-10

300

x cant equal -7

y=x/2x+14 State the excluded value

400

x cant equal -5

y=2x+5/x+5 State the excluded value

Asymptotes

100

x=0 & y=-2

y= 1/x - 2 find the asymptote

200

x=2 & y=0

y= 1/x-2 find the asymptote

300

x=1 & y=0

y= 4/ x-1 find the asymptote

400

x=1 & y=-2

y= 3/(x-2) - 2