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Graphing Quadratic Equations

"When graphing quadratic equations, there are a few key terms that we can identify to help us graph quadratic functions more efficiently. Instead of plugging in values, we can find specific characteri ...

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 ...

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 ...

Equation of a Circle

"A circle can't be represented by a function, as proved by the vertical line test. However, we can obtain an equation that describes the full circle by using the distance formula between the given cen ...

Domain and Range

"An important part of understanding functions is understanding their domain and range. Domain and range are all the possible x-values and y-values of the function, and can often be described easily by ...

Defining Variables

"Variables are used throughout math after Algebra, and are important to understand. A defining variable is a symbol, such as x, used to describe any number. When a variable is used in an equation or a ...

Average Value of a Function

"Calculating the average value of a function over a interval requires using the definite integral. The exact calculation is the definite integral divided by the width of the interval. This calculates ...

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