List the critical points and endpoints of the function shown here, and classify

Question

List the critical points and endpoints of the function shown here, and classify them as relative or absolute extrema. If a point is not an extrema then say 50. (Order your answers so the x-coordinates are in order from least to f has f has f has f has at at n- at n at List the intervals on which fis increasing or decreasing, in order ison the interval is on the intervalC f is on the interval List the critical points and endpoints of the function shown here, and classify them as relative or absolute extrema. If a point is not an extrema then say so. (Order your answers so the x-coordinates are in order from least to f has f has f has at at n- List the intervals on which fis increasing or decreasing, in order f is E D on the interval ?

Explanation / Answer

f has a relative minimum at (x,y) = (-12 , 0)

f has a absolute maximum at (x,y) = (-4 , 8)

f has a absolute minimum at (x,y) = (4, -4)

f has a relative maximum at (x,y) = (12 , 4)

f is increasing on the interval [-12, -4]

f is decreasing on the interval [-4, 4]

f is increasing on the interval [4, 12]

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