Functions: Compare and Linear vs Non-linear Functions_Clancy

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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 rate of change in a linear function?

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The rate of change in a linear function is the slope, which indicates how much the output (y) changes for a unit change in the input (x).

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Identify the general form of a linear function.

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What distinguishes a linear function from a nonlinear function?

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A linear function has a constant rate of change (slope), while a nonlinear function does not have a constant rate of change.

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How can you identify a linear graph?

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A linear graph is a straight line, indicating a constant rate of change.

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What does it mean if a function is nonlinear?

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If a function is nonlinear, it means that the relationship between the input and output does not form a straight line when graphed.

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