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(52797) (Show Source): You can put this solution on YOUR website!
.
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.
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