3-1 Relations and functions 2

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

What defines a function?

Back

A function is a special type of relation where each input is paired with exactly 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.

Front

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

Is the set {(-2, 3), (0, 5), (2, 3)} a function?

Back

Yes, it is a function because each input has a unique output.

Front

Is the set {(-1, 2), (1, 2), (1, 3)} a function?

Back

No, it is not a function because the input '1' is paired with two different outputs (2 and 3).

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs can produce the same output.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a relation or function by showing how each input is paired with its corresponding output.

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.

Front

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.