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. HINT [See figure.] (Order your answers from smallest to largest x.)

f has a (relative min, relative max, absolute min, absolute max, no extremum) at (x, y) = (     ,      )

f has a (relative min, relative max, absolute min, absolute max, no extremum) at (x, y) = (     ,      )

f has a (relative min, relative max, absolute min, absolute max, no extremum) at (x, y) = (     ,      )

(please answer correctly, second time posting this on my final attempt)

Explanation / Answer

Absolute Minimum at x=-2   and f(-2)=-1

Relative minima at x=1 and f(1)=1

Critical point(Stationary point) at x=-2, x=1

Relative maxima at x=1 and f(1)=1

Inflection point at x=-0.5 and x=1

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