Anthony M.

asked • 12/31/15

what are the range and domain of the function f(x)=3x^9+x^3+x^2+3x?

 find the range and domain of this polynomial equation

3 Answers By Expert Tutors

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Ben K. answered • 12/31/15

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Raphael D. answered • 12/31/15

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Michael J. answered • 01/01/16

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Ben K.

Not all polynomials have a range of (-∞,∞). For example, x2 can only be positive and it has a minimum value of 0, therefore it has a range of [0,∞).
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01/01/16

Michael J.

You are right.  I overlooked the parabola function.
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01/01/16

Michael J.

Or to be more accurate, I overlooked the polynomial functions that have even degrees.
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01/01/16

Raphael D.

Not "even degrees", but "leading term with even degree".
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01/01/16

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