Is it a Function?

Front

What is a function?

Back

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

Front

What does it mean if a relation is 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

Is the relation {(1,2), (2,3), (3,4)} a function?

Back

Yes, because each x-value has only one y-value paired with it.

Front

Is the relation {(1,2), (1,3), (2,4)} a function?

Back

No, because the x-value 1 has two y-values (2 and 3).

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function by checking if any vertical line crosses the graph more than once.

Front

Is the relation {(2,5), (3,5), (4,5)} a function?

Back

Yes, because each x-value has only one y-value paired with it.

Front

Is the relation {(1,2), (2,3), (2,4)} a function?

Back

No, because the x-value 2 has two y-values (3 and 4).

Front

What is an example of a function in real life?

Back

A vending machine is a function: each button (input) gives one specific snack (output).

Front

What is a mapping diagram?

Back

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