Determine if a Relation is a 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

How can you determine if a relation is a function from a set of ordered pairs?

Back

Check if any x-value is paired with more than one y-value. If so, it is not a function.

Front

What does the vertical line test determine?

Back

The vertical line test determines 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 is the definition of 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, 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 a function.

Front

What is the range of a function?

Back

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

Front

If a relation has the pairs (2, 3), (2, 4), (3, 5), is it a function?

Back

No, because the x-value 2 has two different y-values (3 and 4).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the inputs and outputs of a function.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each y-value is paired with exactly one x-value.