Functions, Domain, and Range

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (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

Which of the following is NOT a function? {(1,-5), (3,1), (-5,4), (4,-2)}, {(2,7), (3,7), (4,7), (5,8)}, {(1,-5), (-1,6), (1,5), (6,-3)}, {(3,-2), (5,-6), (7,7), (8,8)}

Back

{(1,-5), (-1,6), (1,5), (6,-3)}

Front

Is the relation {(1,3), (5,15), (2,6), (4,12), (3,9)} a function?

Back

Yes, it is a function because each x-value is unique.

Front

Is the relation {(1,3), (1,5), (2,6)} a function?

Back

No, it is not a function because the x-value 1 has two different outputs.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function does not have a constant rate of change and cannot be represented by a straight line.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2.

Front

Given the relation {(1,3), (5,15), (2,6), (4,12), (3,9)}, what are the range values from least to greatest?

Back

{3, 6, 9, 12, 15}.