Domain and Range

Front

What is the definition of Domain in mathematics?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) that will not cause any mathematical errors such as division by zero.

Front

What is the definition of Range in mathematics?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that results from using the domain values in the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Identify the domain of the relation: (-6,14), (0,32), (2,38), (4,44)

Back

-6, 0, 2, 4

Front

Identify the range of the relation: (-6,14), (0,32), (2,38), (4,44)

Back

14, 32, 38, 44

Front

What is the domain of the function f(x) = 1/(x-3)?

Back

All real numbers except x = 3.

Front

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

Back

All real numbers y such that y ≥ 0.

Front

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

Back

x ≥ 1.

Front

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

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

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

Back

[-1, 1].