Functions vs. Non functions Review

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What is an independent variable?

Back

An independent variable is the variable that is changed or controlled in a scientific experiment to test its effects on the dependent variable.

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What is a dependent variable?

Back

A dependent variable is the variable that is measured and affected in an experiment, depending on the independent variable.

Front

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?

Back

The range of a function is the set of all possible output values (y-values) that result from using the function.

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What defines a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, with a constant rate of change.

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What defines a nonlinear function?

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A nonlinear function is a function that does not form a straight line when graphed, indicating a variable rate of change.

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How can you determine if a relation is a function?

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A relation is a function if each input (x-value) has exactly one output (y-value). If any input has more than one output, it is not a function.

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What is an example of a linear equation?

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An example of a linear equation is y = 2x + 3.

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What is an example of a nonlinear equation?

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An example of a nonlinear equation is y = x^2 + 2.

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What does it mean for a function to be one-to-one?

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A function is one-to-one if each output (y-value) is paired with exactly one input (x-value), meaning no two different inputs produce the same output.