Is this 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

How can you tell if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Front

What does it mean for an x-value to repeat in a relation?

Back

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

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

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.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, 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 is paired with 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 y-value associated with it.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

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