Types of Functions

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What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

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What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax^2 + bx + c, where a, b, and c are constants.

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What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different intervals of the input variable.

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What is a square root function?

Back

A square root function is a function that involves the square root of a variable, typically in the form y = √(x + c), where c is a constant.

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What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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What is the range of a function?

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The range of a function is the set of all possible output values (y-values) that the function can produce.

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What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

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What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the point at which the graph of the function changes direction, and it can be found using the formula (-b/2a, f(-b/2a)).

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What is the slope of a linear function?

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The slope of a linear function is a measure of the steepness of the line, calculated as the change in y divided by the change in x (rise/run).