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

How do you represent the domain of a function using set notation?

Back

The domain can be represented in set notation by listing all the valid input values, e.g., {1, 2, 3}.

Front

How do you represent the range of a function using set notation?

Back

The range can be represented in set notation by listing all the valid output values, e.g., {-1, 0, 1, 2, 3, 6}.

Front

What is the domain of the function f(x) = x^2 for real numbers?

Back

The domain of f(x) = x^2 is all real numbers, represented as (-∞, ∞).

Front

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

Back

The range of f(x) = x^2 is all non-negative real numbers, represented as [0, ∞).

Front

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

Back

The domain of f(x) = 1/x is all real numbers except x = 0, represented as (-∞, 0) ∪ (0, ∞).

Front

What is the range of the function f(x) = 1/x?

Back

The range of f(x) = 1/x is all real numbers except y = 0, represented as (-∞, 0) ∪ (0, ∞).

Front

In inequality notation, how would you express the domain of the function f(x) = 2x + 3?

Back

The domain of f(x) = 2x + 3 in inequality notation is -∞ < x < ∞.

Front

In inequality notation, how would you express the range of the function f(x) = 3x - 1?

Back

The range of f(x) = 3x - 1 in inequality notation is -∞ < y < ∞.