Function or Not?

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 a relation?

Back

A relation is a set of ordered pairs, which can include functions but may also include pairs where an input has multiple outputs.

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if no x-value is paired with more than one y-value.

Front

What does it mean if a relation is not a function?

Back

It means that at least one x-value is associated with more than one 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

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 has 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 corresponds to one 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 pairs {(1, 2), (1, 3)}, where the x-value 1 has two different y-values.

Front

What does a function table show?

Back

A function table shows pairs of x-values and their corresponding y-values, demonstrating the relationship between them.

Front

What is a one-to-one function?

Back

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