Functions - Evaluating Functions

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What is a function?

Back

A function is a relation where each input (domain) has exactly one output (range).

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How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

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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-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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What does it mean for a relation to be a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

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What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph, where 'x' is the input and 'y' is the output.

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What is the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented by the coordinates (0, 0).

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Back

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line intersects the graph more than once.

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What is a mapping in relation to functions?

Back

A mapping is a way to describe how each element in the domain is paired with an element in the range.