Practice - Evaluating Functions

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What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

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What does it mean for a relation to be 'not a function'?

Back

A relation is not a function if at least one input is associated with more than one output.

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Back

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Front

Back

x = 3.

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Back

x = 0.

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What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, then the curve is not a function.

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What is the domain of a function?

Back

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 evaluate a function at a specific point?

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