Function or Not?

Front

What is a function?

Back

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

Front

Which set of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function because each x-value is unique.

Front

Is the relation a function? Why? (x-values: 11, y-values: 2 and 3)

Back

No, because the x-value 11 has two y-values (2 and 3) paired with it.

Front

What are all of the x values or inputs called?

Back

Domain.

Front

What are all of the y values or outputs called?

Back

Range.

Front

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

Back

The domain is all real numbers, as any real number can be squared.

Front

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

Back

The range is all non-negative real numbers (y ≥ 0).

Front

If a function has the points (1,2), (2,3), (3,4), what is the output when the input is 2?

Back

The output is 3.

Front

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

Back

It means that at least one x-value is paired with more than one y-value.

Front

Identify the function: A: (1,2), (1,3), (2,4) B: (1,2), (2,3), (3,4)

Back

B is a function because each x-value is unique.