What is the maximum value and/or minimum value of the quadratic function f(x)= - 5x^2-10x6??
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...
However, both the 5x2 and 10x6 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.