Question

What is the maximum and minimum?

Answer 1

The extreme value is −4. To see whether it is a maximum or aminimum, in this case we can simply look at the graph. f(x) is a parabola, and we can see that the turning point is a minimum. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is at (3, −4).