Question

How do you find the max or minimum of `f(x)=-1/2x^2-2x+3`?

Answer 1

Graphically, you can plot the function and look for the maximum or minimum. From calculus you can derive the first and second derivatives to find the specific point.

Explanation:

Graphically, you can plot the function and look for the maximum or minimum. Because it is a quadratic equation, there will be only one such point. From calculus you can derive the first and second derivatives to find the specific point.

f’(x) = -x - 2 ; f”(x) = -1 Thus, it is a maximum at x = -2