SOLUTION: analyze the graph of the rational function Q(x)=(x^4-1)/(x^2-4)

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Question 528604: analyze the graph of the rational function Q(x)=(x^4-1)/(x^2-4)
Found 2 solutions by stanbon, oberobic:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
analyze the graph of the rational function
Q(x)=(x^4-1)/(x^2-4)
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28x%5E4-1%29%2F%28x%5E2-4%29%29
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Cheers,
Stan H.
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Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Numerator:
(x^4 -1) = (x^2+1)(x^2-1) = (x^2+1)(x+1)(x-1)
.
Denominator:
(x^2-4) = (x+2)(x-2)
.
Q(x) = ((x^2+1)(x+1)(x-1))/((x+2)(x-2))
.