Domain and Range of Functions

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output) that the function can produce.

Front

How do you determine the domain of a function from its graph?

Back

The domain can be determined by identifying all the x-values that the graph covers.

Front

How do you determine the range of a function from its graph?

Back

The range can be determined by identifying all the y-values that the graph covers.

Front

What is an example of a function with a domain of (-∞, +∞)?

Back

The function f(x) = x is an example, as it can take any real number as input.

Front

What is an example of a function with a restricted domain?

Back

The function f(x) = 1/x has a domain of (-∞, 0) ∪ (0, +∞) because it is undefined at x = 0.

Front

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

Back

The domain is [1, +∞) because the expression under the square root must be non-negative.

Front

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

Back

The range is [0, +∞) because the output of x^2 is always non-negative.

Front

How do you find the range of a linear function?

Back

The range of a linear function is all real numbers, unless the function is constant.

Front

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

Back

The domain is (0, +∞) because the logarithm is only defined for positive numbers.