SOLUTION: Determine whether the function f(x) = 6 - 3x^(-6) is a polynomial function.

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Question 1202832: Determine whether the function f(x) = 6 - 3x^(-6) is a polynomial function.
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52794)   (Show Source):
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.

It does not contain variable " x " in positive degrees;

in opposite, it contains variable " x " in negative degrees only - - -

hence, it is not a polynomial function of variable " x ".

But one can say that it is a polynomial function of variable   ( ! )

And it is truly true.

Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!

It is not a polynomial function.

In a polynomial, the exponent on the variable in each term must be a non-negative integer.

The first term, 6 (=6x^0) is allowed because 0 is a non-negative integer.

The second term is not allowed, because -6 is not a non-negative integer.