Please show the how to solve the following. Please offer as much explanation as possible. Thanks.
Graph a function on the interval [-2,5] having the following characteristics:
Critical number at x = 0, but no extrema
Absolute minimum at x = 5
Absolute maximum at x = 2
I assume you have studied derivatives.
The point to pay attention to is to have a critical point at x=0.
It means f'(0)=f''(0)=0 at this point, but, in the simplest case f'''(0) is not 0.
As to the rest of the conditions - ...