Function or Not?

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly 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 different y-values (2 and 3).

Front

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

Back

It means that at least one x-value is paired with more than one y-value.

Front

How can you tell 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 {(2, 3), (3, 4), (2, 5)} a function?

Back

No, because the x-value 2 has two different y-values (3 and 5).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph.

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 the domain of a function?

Back

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