Domain, Range, and Functions

Front

What is the domain of a relation?

Back

The set of all x-values.

Front

What is a function?

Back

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

Front

What is the range of a function?

Back

The set of all y-values that result from the function.

Front

Is the following relation a function? (x: 1, 2, 3; y: 4, 5, 5)

Back

Function (each x-value has one y-value).

Front

Is the following relation a function? (x: 1, 2, 2; y: 3, 4, 5)

Back

Not a Function (the x-value 2 has two different y-values).

Front

What is the range of the set of points {(1, 2), (2, 3), (3, 4)}?

Back

{2, 3, 4}.

Front

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

Back

All real numbers.

Front

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

Back

[0, ∞) (all non-negative real numbers).

Front

Identify the domain of the function f(x) = 1/x.

Back

All real numbers except x = 0.

Front

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

Back

[-1, 1].