Bell Ringer: Function or Not?

Front

What is a function in mathematics?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

What is an ordered pair?

Back

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

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

If a relation has the pairs (1, 2), (1, 3), (2, 4), is it a function?

Back

No, because the input '1' has two different outputs (2 and 3).

Front

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

Back

Yes, because each input has exactly one output.

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.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can show how two sets of values are connected.