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 undefined behavior in the function.

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 result from using the function.

Front

Identify the domain of the relation: {(1,3), (5,15), (2,6), (4,12), (3,9)}

Back

{1, 2, 3, 4, 5}

Front

Identify the range of the relation: {(1,3), (5,15), (2,6), (4,12), (3,9)}

Back

{3, 6, 9, 12, 15}

Front

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

Back

All real numbers except x = 2.

Front

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

Back

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

Front

If a function has a domain of {-4, -1, 0, 2, 7}, what does this mean?

Back

It means that the function is defined only for these x-values.

Front

If a function has a range of {-3, -1, 1, 3, 5, 7, 9}, what does this indicate?

Back

It indicates that these are the only possible y-values that the function can output.

Front

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

Back

[1, ∞) (x must be greater than or equal to 1).

Front

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

Back

All real numbers (the output can be any real number).