Identify Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

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What is the Vertical Line Test?

Back

The Vertical Line Test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, then the graph is not a function.

Front

What is a mapping in mathematics?

Back

A mapping is a relationship between two sets that pairs each element of the first set with exactly one element of the second set.

Front

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

Back

A relation is not a function if at least one input is associated with more than one output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

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What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x 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 is associated with two different outputs.

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What is the definition of a domain in 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 definition of a range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you tell if a graph is a function?

Back

You can tell if a graph is a function by using the Vertical Line Test.