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Minimums and Maximums

Highest or lowest y values within an area or function.

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Maximums and Minimums
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Vocabulary

absolute extrema

The absolute extrema of a function are the points with the y values that are the highest or the lowest of the entire function.

End behavior

End behavior is a description of the trend of a function as input values become very large or very small, represented as the 'ends' of a graphed function.

Function

A function is a relation where there is only one output for every input. In other words, for every value of x, there is only one value for y.

global extrema

The global extrema of a function are the points with the y values that are the highest or the lowest of the entire function.

local extrema

The local extrema of a function are the points of the function with y values that are the highest or lowest of a local neighborhood of the function.

Local Maximum

A local maximum is the highest point relative to the points around it. A function can have more than one local maximum.

Local Minimum

A local minimum is the lowest point relative to the points around it. A function can have more than one local minimum.

Maximum

The maximum is the highest point of a graph. The maximum will yield the largest value of the range.

Minimum

The minimum is the lowest point of a graph. The minimum will yield the smallest value of the range.

relative extrema

The relative extrema of a function are the points of the function with y values that are the highest or lowest of a local neighborhood of the function.

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