Functions & Function Notation

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What is a function?

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A function is a relation that assigns exactly one output value for each input value.

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CCSS.8.F.A.1

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What is function notation?

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Function notation is a way to denote functions using symbols, typically written as f(x), where f is the function name and x is the input.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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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.

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CCSS.HSF.IF.A.2

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What does f(3) represent?

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f(3) represents the output of the function f when the input is 3.

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CCSS.HSF.IF.A.2

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What is the difference between a function and a relation?

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A function is a specific type of relation where each input is associated with exactly one output.

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CCSS.8.F.A.1

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

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A graph is not a function if any vertical line drawn intersects the graph at more than one point.

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How do you read f(x)?

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f(x) is read as 'f of x'.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What is the value of h(8) if h(x) = 5 - 9x?

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h(8) = -67.

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CCSS.HSF.IF.A.2

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CCSS.HSF.IF.A.2

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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.