Domain and Range

Front

What is the definition of 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 definition of 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

How do you denote the domain of a function?

Back

The domain is typically denoted using interval notation, such as (a, b), [a, b], or (-∞, ∞).

Front

How do you denote the range of a function?

Back

The range is also denoted using interval notation, similar to the domain.

Front

What does the interval (−∞, ∞) represent?

Back

The interval (−∞, ∞) represents all real numbers, indicating that the function can take any real number as input.

Front

What does the interval [1, 4] represent?

Back

The interval [1, 4] includes all real numbers from 1 to 4, including the endpoints 1 and 4.

Front

What does the interval (−∞, −2] represent?

Back

The interval (−∞, −2] includes all real numbers less than or equal to -2.

Front

What does the interval [−2, ∞) represent?

Back

The interval [−2, ∞) includes all real numbers greater than or equal to -2.

Front

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

Back

The domain is all real numbers except x = 0, denoted as (-∞, 0) ∪ (0, ∞).

Front

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

Back

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