Section 3
Properties of Functions
Book
Version 13
By Boundless
By Boundless
Boundless Algebra
Algebra
by Boundless
6 concepts
Increasing, Decreasing, and Constant Functions
Functions can either be constant, increasing as
Relative Minima and Maxima
Relative minima and maxima are points of the smallest and greatest values in their neighborhoods respectively.
Piecewise Functions
A piecewise function is defined by multiple subfunctions that are each applied to separate intervals of the input
One-to-One Functions
A one-to-one function, also called an injective function, never maps distinct elements of its domain to the same element of its codomain.
Symmetry of Functions
Two objects have symmetry if one object can be obtained from the other by a transformation.
Even and Odd Functions
Functions that have an additive inverse can be classified as odd or even depending on their symmetry properties.