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Joint Variation

"In Algebra, sometimes we have functions that vary in more than one element. When this happens, we say that the functions have joint variation or combined variation. Joint variation is direct variatio ...

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 ...

Integer Power Function

"Power functions are functions where y = x^n where "n" is any real constant number. When "n" is a positive integer, we have two possible scenarios of an integer power function. When "n" is odd, the fu ...

Indirect Variation

"When modeling real world situations, we often use what's called inverse or indirect variation to describe a relation between two variables. Indirect variation is a relation in which the absolute valu ...

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 ...

Step Functions

"Some functions are not easily written as a formula. On a graph, a step function looks like a flight of stairs. The graphs of step functions have lines with an open circle on one end and a closed circ ...

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 ...

Graph Dilations

"When graphing parabolas and other functions, there are certain types of graph dilations that help us graph and explore parabolas more efficiently. When graphing parabolas, dilations occur when the "a ...

Function Notation

"Throughout mathematics, we find function notation. Function notation is a way to write functions that is easy to read and understand. Functions have dependent and independent variables, and when we u ...

Quotient Rule

"The quotient rule is useful when trying to find the derivative of a function that is divided by another function. As long as both functions have derivatives, the quotient rule tells us that the final ...

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