Function, Domain, and Range

Front

What is a function?

Back

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

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

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).

Front

What does it mean if a mapping is not a function?

Back

It means that at least one input is associated with more than one output.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x-value has one corresponding y-value.

Front

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

Back

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

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0.

Front

What is the range of the function f(x) = x^2?

Back

The range is all real numbers greater than or equal to 0.

Front

If the domain is {1, 2, 3}, what could the range be?

Back

The range could be any set of values that corresponds to the inputs, such as {4, 5, 6}.