Functions Review

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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 does it mean for a function to be linear?

Back

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

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What is the difference between input and output in a function?

Back

Input refers to the values you put into a function (x-values), while output refers to the values you get out of a function (y-values).

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How can you determine if a function is linear from a table of values?

Back

If the differences between consecutive y-values are constant for equal differences in x-values, the function is linear.

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What is the slope of a linear function?

Back

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

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What is a function rule?

Back

A function rule is an equation that describes the relationship between the input and output of a function.

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What does the term 'domain' refer to in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

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What does the term 'range' refer to in a function?

Back

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 a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. Its equation may involve exponents, roots, or other operations that create curves.

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How can you identify a linear function from its graph?

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A linear function will graph as a straight line, while a nonlinear function will graph as a curve.