SOLUTION: f(x)=3x/(x-4)(x+4)

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Question 768084: f(x)=3x/(x-4)(x+4)
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=3x%2F%28%28x-4%29%28x%2B4%29%29
Critical points at x=-4 and x=4. Also f crosses x axis at x=0.

The THREE critical points form four intervals of the horizontal x axis. Vertical asymptotes at x=-4 and x=4.

INTERVALS_______________________SIGN
(-infin, -4)________(-)/(- -)_________(-)
(-4, 0)_____________(-)/(- +)_________(+)
(0, +4)_____________(+)/(- +)_________(-)
(+4, infin)_________(+)/(+ +)_________(+)

graph%28300%2C300%2C-6%2C6%2C-20%2C20%2C3x%2F%28%28x-4%29%28x%2B4%29%29%29