Domain and Range

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What is the domain of a function?

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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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How do you determine the domain from a graph?

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To determine the domain from a graph, identify the x-values that the graph covers. Look for any restrictions such as holes or vertical asymptotes.

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How do you determine the range from a graph?

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To determine the range from a graph, identify the y-values that the graph covers. Look for any restrictions such as horizontal asymptotes or gaps.

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It means that the function can accept any real number as an input.

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The domain is all real numbers except for x = 0, since division by zero is undefined.

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What is the domain of a linear function?

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The domain of a linear function is typically all real numbers unless specified otherwise.

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What is the range of a linear function?

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The range of a linear function is also typically all real numbers unless specified otherwise.

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If a function is defined only for the months of the year, what is its domain?

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