Skill 6 Review (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 the domain of a function?

Back

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

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What is the range of a function?

Back

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

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What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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How do you find the output of a function?

Back

To find the output of a function, substitute the input value into the function's equation.

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What is the slope of a line?

Back

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

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What is a vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, it is not a function.

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What is an independent variable?

Back

An independent variable is a variable that represents the input or cause in a function, typically denoted as x.

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What is a dependent variable?

Back

A dependent variable is a variable that represents the output or effect in a function, typically denoted as y.

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What is a table of values?

Back

A table of values is a way to organize input-output pairs for a function, showing how each input corresponds to an output.