Function or Not a Function

Front

What is a function in mathematics?

Back

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

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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).

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 crosses the graph more than once.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Given the set of ordered pairs {(1,5),(1,7),(3,9),(4,11)}, is this a function?

Back

No, it is not a function because the input '1' is associated with two different outputs (5 and 7).

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What is an example of a function?

Back

An example of a function is the relation {(2,3), (3,4), (4,5)}, where each input has a unique output.

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What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1,2), (1,3)}, where the input '1' has two different outputs.

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What is a mapping in the context of functions?

Back

A mapping is a way to describe how each element in a set (domain) is paired with an element in another set (range).

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.