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 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 repeating y-values?

Back

Yes, a function can have repeating y-values as long as each x-value is unique.

Front

What does it mean if an x-value repeats in a set of ordered pairs?

Back

If an x-value repeats with different y-values, the relation is not a function.

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

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

Back

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

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

What does it mean for a graph to not be a function?

Back

A graph is not a function if there are x-values that correspond to more than one y-value.

Front

If a graph passes the vertical line test, what can we conclude?

Back

We can conclude that the graph represents a function.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can show how two quantities are related.