Math 3: EOC Review Unit 1 - Function Basics

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, and h, followed by parentheses containing the input value, e.g., f(x).

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How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation.

Front

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?

Back

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 determine if a function is increasing or decreasing?

Back

A function is increasing on an interval if the output values rise as the input values increase; it is decreasing if the output values fall as the input values increase.

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What does f(x) - g(x) represent?

Back

f(x) - g(x) represents the difference between the outputs of two functions f and g for the same input x.

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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.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the x-intercepts of a function?

Back

To find the x-intercepts of a function, set f(x) = 0 and solve for x.