Big Ideas Rational Functions

Simplify the rational function

• 1/(3x)

• 3x(x + 1)

• 3x

• (x + 1)

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

Factor out, cancel out, and write remaining terms.

• A

• B

• C

• D

simplify by factoring out and canceling out.

• a

• b

• c

• d

(x²+11x+24)/(x²+4x-32)

• (x+7)/(x+4)

• 3/4

• (x+3)/(x+4)

• (x+3)/(x-4)

Simplify (look for common factors that you can factor out and cancel out)

• A.4x³/(x+2)

• B.4x³/(x+10)

• C.2x³/(5x+1)

• D. 2x³/(x+5)

Simplify

• (n-2)/(n+2)

• (n+2)/(n-2)

• 1/(n+2)

• 1/(n-2)

Simplify

• (x-9)/(x+9)

• 1/(x-9)

• (x+9)

• 1/(x+9)

What is the equation of the horizontal asymptote?

• y = 0

• y = -2

• y = 2

• There isn't one

What is the domain?

• x ≠ 3

• x ≠ -1

• x ≠ 3, -1

• x ≠ 3, 1