3.1 - PRACTICE Functions, Functions, Functions!

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

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

What does it mean for a relation to be not 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

Give an example of a function using ordered pairs.

Back

(2, 3), (3, 4), (4, 5) is a function because each x-value is unique.

Front

Give an example of a relation that is not a function using ordered pairs.

Back

(1, 2), (1, 3) is not a function because the x-value 1 is paired with two different y-values.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

How can you tell if a graph is a function?

Back

A graph is a function if it passes the vertical line test.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

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 have the same output.