Which of these points are the absolute minima? (Select all that apply, if none s

Question

Which of these points are the absolute minima? (Select all that apply, if none say none)
Which of these points are relative maxima? (Select all that apply, if none say none)
Which of these points are relative minima? (Select all that apply, if none say none)
Which of these points are neither an absolute or relative minimum nor an absolute or relative maximum? (Select all that apply, if none say none) Determine whether each labeled point is an absolute maximum or minimum, a relative maximum or minimum, or neither.

Explanation / Answer

Absolute Maxima : Since point G( value is greater than B ) is not defined but its neighborhood is defined . Hence , absolute maxima is not defined

Absolute Minima : Lowest point exists at point A , hence absolute minima at A

Relative Maxima : For point B and E , the values are greater than that of the neighborhood

Relative Minima : For point A , D and F , the values are smaller than that of the neighborhood

None Of These : Point G and C

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