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11 if we sketch the graph of the function fxx12 on its entire domain it has a relative minimum point.

Sketch the graph of a function on 1 2 that has an absolute maximum but no absolute minimum. Sketch the graph of a function on 1 2. Y x on 12 this function has an absolute maximum at x 2 but it has no local maximum. Likewise you can see the point where there is one local minimum.

Sketch the graph of a function on the interval that has a relative minimum at x7 a relative maximum at x2 and no absolute extrema. Sketch the graph of a function on 1 2 that has an absolute maximum but no local maximum. Our convention is that a function does not have a local maximum at the endpoints of its domain.

B sketch the graph of a function on 1 2 that is discontinuous but has both an absolute. Minimum and maximum values. Sketch the graph of a function that has two local maxima one local minimum and no absolute minimum.

B sketch the graph of a function on 12 that has a local maximum but no absolute maximum. A sketch the graph of a function on 1 2 that has an absolute maximum but no absolute minimum b sketch the graph of a function on 12 that is discontinuous but has both an absolute maximum and an absolute minimum. You can see that there are two locations where the slope of the tangent is zero and there are local maxima.

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