Find the absolute maximum and absolute minimum values of f on the given interval.
, [0, 4]
absolute minimum value
absolute maximum value

Absolute minimum value: 7

Absolute maximum value: 351

Step-by-step explanation:

Absolute Maxima and Minima of Functions

The procedure to find the extreme values of a function in a given interval is:

Let the function be

In the interval [0,4]

Compute the first derivative

Equating to 0

Solving

We can find no real solutions to the above equation and therefore there are no critical points. The only possible extreme values will come from the endpoints. Thus

Absolute minimum value: 7

Absolute maximum value: 351

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.