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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 ...

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 ...

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 ...

Continuous Functions

"In order for a function to have continuity at a certain point, several conditions including (1) the existence of the point in the domain and (2) the existence of a two-sided limit as the point approa ...

Power Functions

"A power function is a function where y = x ^n where n is any real constant number. Many of our parent functions such as linear functions and quadratic functions are in fact power functions. Other pow ...

Composition of Functions

"When we put two functions together, we have something called a composition of functions. For example, the expression g(f(x)) states that we should put the "f" function into the "g" function. To do th ...

Piecewise Functions

"In real world situations it can be difficult to describe events with a single smooth function. We sometimes need to use piecewise functions to describe these situations. Piecewise functions are funct ...

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