Approximate the critical numbers of the function shown in the graph. Determine w

Question

Approximate the critical numbers of the function shown in the graph. Determine whether the function has a relative maximum, a relative minimum, an absolute maximum, an absolute minimum, or none of these at each critical number on the interval shown. (Enter your answers as a comma-separated list.) Approximate the critical numbers. x = List the critical numbers at which each phenomenon occurs. (If an answer does not exist, enter DNE.) relative maxima x = relative minima x = absolute maxima x = absolute minima x =

Explanation / Answer

critical numbers are:
x = -1 ; x ~= 1/2 ; x=2; x=3 and x=4;

A relative maxima/minima will be the maximum/minimum value in that particular zone;
An absolute maxima/minima will be the maximum/minimum value all over the domain of the function;

Relative maxima occurs at x=3 which is ~= 4
Relative minima does not exist
Absolute maxima occurs at x=1/2 which is ~= 4.5
Absolute minima occurs at x=-1, x=2 and x=4 which is = 0;

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