Algebra Regents Defining Functions and Function Notation

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What is a function?

Back

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

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What is function notation?

Back

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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How do you evaluate a function at a specific value?

Back

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

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Back

27

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36

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Back

-9

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-7

Front

What does it mean for a function to be quadratic?

Back

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

Front

What is the standard form of a quadratic function?

Back

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

Front

What is the vertex of a quadratic function?

Back

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