Which monomial function has a maximum value?

(Can anyone explain how you can tell?)

y=-6x^3

y=-5x^4

y=5x^6

y=6x^5,

To determine which of the following monomial function has a maximum value, you have to assume the value of x. Let us say the value of x is 2. Substitute 2 for all x’s in the monomial function.

y=-6x^3 = - 6 (2) ^3 = - 48

y=-5x^4 = - 5 (2) ^4 = - 80

y=5x^6 = 5 (2) ^6 = 320

y=6x^5 = 6 (2) ^5 = 192 Therefore, the monomial function with the maximum value is y = 5x^6