SOLUTION: A graphing calculator is recommended. Determine the end behavior of P. P(x) = 3x^3 − x^2 + 5x + 8 y → as x → infinity y →

Algebra ->  Graphs -> SOLUTION: A graphing calculator is recommended. Determine the end behavior of P. P(x) = 3x^3 − x^2 + 5x + 8 y → as x → infinity y →       Log On


   

Question 399594: A graphing calculator is recommended.
Determine the end behavior of P.
P(x) = 3x^3 − x^2 + 5x + 8
y → as x → infinity
y → as x → infinity

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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A graphing calculator is recommended.
Determine the end behavior of P.
P(x) = 3x^3 + x^2 + 5x + 8
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You don't need a calculator. End behavior
is determined by the highest power term.
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As x goes to +inf, (3x^3) goes to +inf; so y goes to +inf
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As x goes to -inf, (3x^3) goes to -inf: so y goes to -inf.

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Cheers,
Stan H.