T3 Linear Functions Review Flashcard

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What is a linear function?

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What does the slope of a linear function represent?

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The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.

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What is the y-intercept of a linear function?

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How do you determine 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. For example, in a linear function, the domain is usually all real numbers unless specified otherwise.

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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 based on its domain.

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What is an arithmetic sequence?

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An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.

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How do you find the nth term of an arithmetic sequence?

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What is a function?

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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 difference between a function and a relation?

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A relation is a set of ordered pairs, while a function is a specific type of relation where each input is associated with exactly one output.

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What does it mean for a relation to not represent a function?

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A relation does not represent a function if there is at least one input (x-value) that is associated with more than one output (y-value).