Question

Determine the location and values of absolute maximum and minimum for given function
f(x)= (-x+2)^4 , where 0<=x<=3

Answer 1

Answer:

Finding the Absolute Extrema

Find all critical numbers of f within the interval [a, b]. ...

Plug in each critical number from step 1 into the function f(x).

Plug in the endpoints, a and b, into the function f(x).

The largest value is the absolute maximum, and the smallest value is the absolute minimum.