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

##### 1 Answer

Jan 4, 2017

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