Identifying Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

How can you identify a function from a table of values?

Back

Check if any x-value is repeated; if it is, 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

Does the set of ordered pairs (1, 2), (2, 3), (1, 4) represent a function?

Back

No, because the x-value '1' is associated with two different y-values (2 and 4).

Front

Does the set of ordered pairs (1, 2), (2, 3), (3, 4) represent a function?

Back

Yes, because each x-value is associated with exactly one y-value.

Front

What is a mapping diagram?

Back

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

Front

Can a vertical line test determine if a graph represents a function?

Back

Yes, if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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