3-3 Properties of Functions

3-3 Properties of Functions - 3-3: More About...

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Unformatted text preview: 3-3: More About FunctionsIncreasing and Decreasing functions;A function f is increasing on an open interval I if, as x increases, f(x) also increases. It is decreasing if, as x increases, f(x) decreases. It is constant if, as x increases, f(x) remains the same.Local Maximum; Local Minimum: In non-technical language, a local minimum is a turning point in the graph where f(x) is decreasing on the left of point c and increasing on the right side of a point c. Point c is a local maximum if the graph is increasing on the right and decreasing on the left.Even and Odd Functions: On the graph, even functions are symmetric to the y-axis; that is, for every point (x, y), there is also a point (-x, y) on the graph. Odd functions are symmetric to the origin; that is, for every point (x, y), there is also a point (-x, -y). From equations: A function is even if f(-x) = f(x). It is every point (x, y), there is also a point (-x, -y)....
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3-3 Properties of Functions - 3-3: More About...

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