Rational Function Notes

• A
• B
• C
• D

Factor and cancel out in order to simplify. Label it a/b - c/d multiply a with d and b with c and all over b times d (in your notes)

• A

• B

• C

• D

(x²+11x+24)/(x²+4x-32)

• (x+7)/(x+4)

• 3/4

• (x+3)/(x+4)

• (x+3)/(x-4)

Factor and cancel out in order to simplify.

• 1/(n-7)

• n-7

• (n-6)/(n-7)

• n-6

Label the graph

b

c

d

e

a

x-axis

y-intercept

Vertical Asymptote

origin

Horizontal Asymptote

• y = -2

• y = 0

• y = 1/2

• x = 2

• none

Factor and cancel out in order to simplify.

• 9(x+10)

• x+10

• 9

• x+9

Simplify the rational function

• 1/(x + 5)

• 1/(x - 5)

• (x - 5)(x + 5)

• (x - 5)/[(x - 5)(x + 5)]

Simplify the rational function

• 1/(3x)

• 3x(x + 1)

• 3x

• (x + 1)

Simplify.

• A

• B

• C

• D