Identifying Functions (Additional Practice)

Front

What is a function?

Back

A function is a relation where each input (x-value) is associated with 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 crosses the graph at more than one point, it is not a function.

Front

What does it mean if an x-value repeats in a relation?

Back

If an x-value repeats in a relation, it means that the relation is not a function, as it would correspond to multiple y-values.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value corresponds to only one y-value.

Front

What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where each x-value gives a unique y-value.

Front

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 x-value 1 corresponds to two different y-values.

Front

How can you tell if a graph is a function by looking at it?

Back

You can tell if a graph is a function by using the vertical line test; if any 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 one-to-one?

Back

A one-to-one relation is a function where each x-value corresponds to a unique y-value, and each y-value corresponds to a unique x-value.

Front

What is a mapping diagram?

Back

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

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 exactly one output.