Locate and classify all extrema in the graph. (By classifying the extrema, we me

Question

Locate and classify all extrema in the graph. (By classifying the extrema, we mean listing whether each extremum is a relative or absolute maximum or minimum.) Also, locate any stationary points that are not relative extrema.

Assume a = 5 and b = 4.

f has a relative maximum at (  ,  ).
f has  ---Select--- a relative minimum a relative maximum an absolute minimum an absolute maximum no extremum at (  , -5).
f has  ---Select--- a relative minimum a relative maximum an absolute minimum an absolute maximum no extremum at (9.2,  ).
f has  ---Select--- a relative minimum a relative maximum an absolute minimum an absolute maximum no extremum at (-4,  ).
f has a stationary point at (  , 5).

Explanation / Answer

f has relative maximum at (-12,0)

f has absolute minimum at (-8, -5)

f has no extremum at (9.2, inf) because the arror indicates that it approaches infinity.

f has no extremum at (-4,-2.5)

f has a stationary point at (4, 5)

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