Function, Relations, 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 a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

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 a function? Yes or No: {(0,1), (1,-3), (2,-4), (-4,1)}

Back

Yes, because each x-value has only one y-value paired with it.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Back

D: {0, 1, 2, -4} R: {1, -3, -4}.

Front

What are all the x values or inputs called?

Back

Domain.

Front

What is the range of the function represented by the set {(2,3), (4,5), (6,7)}?

Back

{3, 5, 7}.

Front

If a function has the input x = 5 and outputs y = 10 and y = 15, is it a function?

Back

No, because the input x = 5 has two different outputs.