Functions, Domain and Range

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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?

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 does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) is associated with exactly one output (y-value).

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What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents 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 example of a function?

Back

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What is an example of a relation that is not a function?

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An example of a relation that is not a function is the set of points forming a circle, as some x-values correspond to multiple y-values.

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What is the significance of the x-intercept?

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The x-intercept is the point where the graph of a function crosses the x-axis, indicating the value of x when y = 0.

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What is the significance of the y-intercept?

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The y-intercept is the point where the graph of a function crosses the y-axis, indicating the value of y when x = 0.