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Introduction to Functions

"In mathematics, a relationship describles one quantity in terms of another. A function is a type of relationship in which for each first component there is one and only one second component. In mathe ...

The Greatest Integer Function

"One of the most commonly used step functions is the greatest integer function. The greatest integer function has it's own notation and tells us to round whatever decimal number it is given down to th ...

Graphing Transformations

"There are many different transformations, and graphing transformations is different depending on what type it is. One of the most basic types of transformations is y = a·f(x) + b. Graphing transforma ...

Graphing Transformation

"There are different types of graphing transformation, one of which is subtraction a constant from the independent variable. This type of graphing transformation can be written as y = f(x - h). For th ...

Graph Symmetry

"There are special types of functions that have graph symmetry. The most notable types are even and odd functions. Even functions have graph symmetry across the y-axis, and if they are reflected, will ...

Finding the Domain of a Function

"Certain functions, such as rational and radical elementary functions, have instances of restricted domains. When finding the domain of a function, we must always remember that a rational function inv ...

Elementary Functions

"In math we often encounter certain elementary functions. These elementary functions include rational functions, exponential functions, basic polynomials, absolute values and the square root function. ...

Domain Restrictions

"An important concept in the study of functions, especially piece-wise defined functions, is that of domain restrictions. Domain restrictions allow us to create functions defined over numbers that wor ...

Math Transformation

"There are different types of math transformation, one of which is the type y = f(bx). This type of math transformation is a horizontal compression when b is greater than one. We can graph this math t ...

Math Reflection

"There are different types of transformations and their graphs, one of which is a math reflection across the y-axis. If we get the same function from a math reflection, it is a symmetrical function, s ...

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