Functions, Functions, Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

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What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

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What is the range of a function?

Back

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

Front

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 a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

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What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and may include curves or other shapes.

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What does it mean for a set of values to be a function?

Back

A set of values is a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has one output.

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What is a mapping in terms of functions?

Back

A mapping shows how each element of a domain is paired with an element in the range.

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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.