Algebra Regents Defining Functions and Function Notation

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What is a function?

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A function is a relation that assigns exactly one output for each input from a set of inputs.

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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 variable.

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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 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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CCSS.HSF.IF.A.2

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CCSS.HSF.IF.A.2

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CCSS.HSF.IF.A.2

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CCSS.HSF.IF.A.2

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CCSS.HSF.IF.A.2

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What does it mean for a function to be quadratic?

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A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

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What is the standard form of a quadratic function?

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The standard form of a quadratic function is f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

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What is the vertex of a quadratic function?

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The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.