Domain and Range of Functions

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

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

Back

The domain is all real numbers, as there are no restrictions on x.

Front

Given the function f(x) = 1/(x-2), what is the domain?

Back

The domain is all real numbers except x = 2, since the function is undefined at that point.

Front

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

Back

A possible range could be {2, 4, 6} if the function doubles the input.

Front

What is a common way to represent the domain of a function?

Back

The domain can be represented using set notation, interval notation, or a number line.

Front

What is the range of the function represented by the points {(1,2), (2,3), (3,5)}?

Back

The range is {2, 3, 5}.

Front

How do you find the range from a graph of a function?

Back

To find the range from a graph, identify the lowest and highest y-values that the graph reaches.

Front

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

Back

The domain is [0, ∞) because the square root function is only defined for non-negative numbers.

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.