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 is the definition of '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 mapping {(1, 2), (1, 3), (2, 4)} a function?

Back

Not a Function, because the input 1 has two outputs (2 and 3).

Front

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

Back

Function, because each input has only one output.

Front

What does it mean if a table represents a function?

Back

It means that for every x-value in the table, there is only one corresponding y-value.

Front

Is the relation {(2, 3), (2, 5), (3, 6)} a function?

Back

Not a Function, because the input 2 has two outputs (3 and 5).

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function.

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

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

Front

Is the relation {(1, 2), (3, 4), (5, 6)} a function?

Back

Function, because each input has only one output.