Domain and Range

Front

What is the definition of 'Domain' in mathematics?

Back

The set of all possible input values (x-values) for a function.

Front

What is the definition of 'Range' in mathematics?

Back

The set of all possible output values (y-values) for a function.

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean for a set of ordered pairs to be a function?

Back

Each x-value must correspond to only one y-value.

Front

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

Back

The domain is x ≥ 1.

Front

Identify the range of the function f(x) = x^2.

Back

The range is all real numbers y such that y ≥ 0.

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 set {(1, 2), (1, 3)} is not a function because the x-value 1 corresponds to two different y-values.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2.