Domain and Range Concepts

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

Identify the domain of the function f(x) = 1/(x-2).

Back

All real numbers except x = 2.

Front

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

Back

All real numbers y such that y ≥ 0.

Front

What does it mean if a function has a domain of 'All real numbers'?

Back

It means that any real number can be used as an input for the function.

Front

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

Back

x ≥ 1.

Front

Identify the range of the function f(x) = √(x).

Back

All real numbers y such that y ≥ 0.

Front

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

Back

x > 0.

Front

Identify the domain of the relation {(1,2), (3,4), (5,6)}.

Back

{1, 3, 5}.

Front

What is the domain of the function f(x) = 3x + 5?

Back

All real numbers.