Function or not/ Function Notation STAAR Review

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What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

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What is function notation?

Back

Function notation is a way to represent 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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What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y.

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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 is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate plane.

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What is the domain of a function?

Back

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

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What does it mean for a set of ordered pairs to represent a function?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (x value).

Front

How do you determine if a graph represents y as a function of x?

Back

Use the vertical line test: if any vertical line crosses the graph more than once, it does not represent y as a function of x.