Domain and Range

Front

What is the definition of Domain in 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 definition of Range in 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, what is the domain?

Back

The domain is all real numbers except x = 0.

Front

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

Back

The maximum number of elements in the range is also 3, assuming each input maps to a unique output.

Front

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

Back

The range is [0, 4].

Front

If a function has a domain of [-1, 3] and outputs values between 2 and 5, what is the range?

Back

The range is [2, 5].

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

For the function f(x) = -x + 4, what is the range if the domain is all real numbers?

Back

The range is all real numbers.

Front

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

Back

The domain is [1, ∞).