Question

Describe the end behavior of the function. f(x)=x^3+11x^2+35x+30

Answer 1

To determine end behavior, we only have to look at the leading term.

First, the leading term is positive, so we won't have to negate anything.

The leading term has a power that is odd.

Since the exponent is odd, this means that the function goes to positive infinity as x goes to positive infinity.

This also means that the function goes to negative infinity as x goes to negative infinity.

Those are the end behaviors.

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