1.1 Warm-Up: Identifying Functions

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

Back

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

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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.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, 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 the set of points {(1, 2), (1, 3)}, where the input 1 is associated with two different outputs.

Front

How can you identify a function from a table of values?

Back

A table of values represents a function if no x-value is repeated with different y-values.

Front

What does it mean for a graph to be a function?

Back

A graph is a function if every x-coordinate has exactly one corresponding y-coordinate.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.

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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?

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