Evaluating Functions

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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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How do you evaluate a function at a specific value?

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To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

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What does it mean for a graph to be a function?

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A graph represents a function if every vertical line intersects the graph at most once.

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What is the vertical line test?

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The vertical line test is a method to determine if a curve is a graph of a function by checking if any vertical line intersects the curve more than once.

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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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