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Sets

Set-Builder Notation

A Set is a collection of things (often numbers). Example: {2, 3, 5} is a set. Here is a simple example…

Intervals

Definition In mathematics, interval is a set of real numbers with the property that any number that lies between 2…

Injective, Surjective & Bijective

Definition of Function Injective A function f is injective if and only if whenever f(x) = f(y), x = y. Surjective f is…

Set Symbols

Set Symbols - A Set is a collection of things, usually numbers. We can list each element or member of…

Exponential Function: Definition, Equation, Graph, Properties, Inverse, Natural, Examples

What is an Exponential Function? Exponential function is one of type of function. It is non algebraic (transcendental) function which…

Piecewise Functions: Definition, How to Solve, Examples

Piecewise Functions Definition A function can be expressed as a graph. But, not all of function has a whole graph.…

Inverse Functions

Definition The inverse is shown by putting a little "-1" after the function name, like this: f-1(y), where y =…

Function Transformations

How move and resize the graphs of functions? How move the graphs of functions? Add a constant to the y-value…

Sets Theory

A set is a collection of distinct objects, considered as an object in its own right. For example, the numbers…

Hyperbolic Functions: Definition, Inverse, Identities, Derivatives, & Examples

What is Hyperbolic functions? Hyperbolic function identic with trigonometry function especially sine and cosines. It is exponential functions that has…