Continuous Vs Discrete Domain and Range

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What is the DOMAIN of a function?

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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 set of all possible output values (y-values) that a function can produce.

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What is a discrete variable?

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A variable that can take on a countable number of distinct values, such as the number of students in a class.

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What is a continuous variable?

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A variable that can take on an infinite number of values within a given range, such as height or temperature.

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What does it mean if a function has a continuous domain?

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It means that the function can accept any value within a certain interval.

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What does it mean if a function has a discrete domain?

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It means that the function can only accept specific, separate values.