Domain and Range Practice (2024)

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 its domain?

Back

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

Front

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

Back

The domain is all real numbers except x = 0, since division by zero is undefined.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the domain of the function f(x) = 3x - 5 for x in the interval [-2, 4]?

Back

The domain is [-2, 4], which includes all x-values from -2 to 4.

Front

What is the range of the function f(x) = x^2 for x in the interval [-3, 3]?

Back

The range is [0, 9], as the minimum value is 0 (when x=0) and the maximum is 9 (when x=3 or x=-3).

Front

If a function has a domain of {0, 1, 2, 3}, what can be said about its range?

Back

The range can vary depending on the function, but it will consist of the output values corresponding to the inputs in the domain.

Front

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

Back

The domain is x ≥ 0, since the square root of a negative number is not defined in the set of real numbers.

Front

What is the range of the function f(x) = -x + 4?

Back

The range is all real numbers, as the function can produce any y-value depending on the x-value.