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

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input is associated with more than one output.

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 the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

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

Back

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

Front

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

Back

Yes, because each input is associated with exactly one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 1, where each input x has a unique output.

Front

What is an example of a relation that is not a function?

Back

An example is the relation {(1, 2), (1, 3)}, which is not a function because the input '1' has two outputs.

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.