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

What does it mean if an x-value has two different y-values?

Back

If an x-value has two different y-values, the relation is not a function because a function must have only one output for each input.

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 is an ordered pair?

Back

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

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

Back

Yes, because each x-value has only one corresponding y-value.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

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

Back

If a graph passes the vertical line test, we can conclude that it is a function.