185 - Formative 4.A Review 2021

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What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

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What is the vertical line test?

Back

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

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What does it mean if a graph is not a function?

Back

If a graph is not a function, it means that at least one input corresponds to multiple outputs.

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What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where each x-value has a unique y-value.

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What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is the equation x^2 + y^2 = 1, which represents a circle.

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How can you tell if a mapping is a function?

Back

A mapping is a function if every input is paired with exactly one output.

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What is the definition of a domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) for that function.

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What is the definition of a range in a function?

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The range of a function is the set of all possible output values (y-values) that result from the function.

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What does it mean for a graph to pass the vertical line test?

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If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value, confirming it is a function.

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What is a one-to-one function?

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A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs produce the same output.