Domain and Range

Front

What is the definition of Domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the definition of Range in a function?

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

Given the function f(x) = 2x + 3, what is the domain?

Back

All real numbers.

Front

Given the function f(x) = x^2, what is the range?

Back

All real numbers greater than or equal to 0.

Front

What is 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) = -x^2?

Back

All real numbers less than or equal to 0.

Front

If the domain of a function is {1, 2, 3}, what is the maximum possible range?

Back

The range can be any set of values that corresponds to the outputs of the function for the given domain.

Front

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

Back

All real numbers greater than or equal to 0.

Front

What is the range of the function f(x) = x^2 + 1?

Back

All real numbers greater than or equal to 1.

Front

Given the function f(x) = 3x - 4, what is the domain?

Back

All real numbers.