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

ID: 2892885 • Letter: A

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. 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 found where dy/dx =0 . Or, the function changes it's convexity or concavity. So here, the critical numbers are x= 4,1,3. (Approximately) as observed from the graph.

Relative maxima- x=4

Relative minima- x= 3

Absolute Maxima x=4

Absolute minima- x= can't say as entire domain is not available.

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