Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...

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Hi Kevin;

f(x)= -5x^{2}-10x^{6}

The fact that both x values are to an even exponential (2 and 6), means that the results of any value of x will be positive, whether or not x is negative.

Henceforth, 0 is the minimum value of the results of x...

f(x)=-5(0^{2})-10(0^{6})

f(x)=0

However, both the 5x^{2} and 10x^{6} are being subtracted. Henceforth, the results of the whole equation will always be negative except when x=0.

0 is maximum value of f(x), while 0 is the minimum
value of x to either exponential.

There is no minimum value of f(x) because there is nothing else restricting the value of x.

Thank you, Happy Thanksgiving to you too. :)
I meant student posted quadratic function f(x) = -5x^2 - 10x - 6
but you gave the answer for 6th power polynomial function max f(x) = 0 with min x = 0 , but there is no minimum for "x" whatsoever for those functions.

Kevin from Mesquite, Texas asks many good questions on Wyzant. If you place this question and its two different presentations, f(x)= -5x^2-10x-6 and f(x)= - 5x^2-10x6, within the context of his other questions, you will see that the latter is consistent. He is not yet studying parabolas, lines of such symmetry, vertexes, etc.

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I meant student posted quadratic function f(x) = -5x^2 - 10x - 6

but you gave the answer for 6th power polynomial function max f(x) = 0 with min x = 0 , but there is no minimum for "x" whatsoever for those functions.

x-6x6-6and f(x)= - 5x^2-10x6, within the context of his other questions, you will see that the latter is consistent. He is not yet studying parabolas, lines of such symmetry, vertexes, etc.