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

Given a set of ordered pairs, how do you determine the domain?

Back

To determine the domain from a set of ordered pairs, list all the unique x-values from the pairs.

Front

Given a set of ordered pairs, how do you determine the range?

Back

To determine the range from a set of ordered pairs, list all the unique y-values from the pairs.

Front

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

Back

The domain is all real numbers except x = 0, or in interval notation: (-∞, 0) ∪ (0, ∞).

Front

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

Back

The range is all real numbers greater than or equal to 0, or in interval notation: [0, ∞).

Front

How do you express the domain of a function using interval notation?

Back

Interval notation uses brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints to represent the set of x-values.

Front

What is the domain of the linear function f(x) = 2x + 3?

Back

The domain is all real numbers, or in interval notation: (-∞, ∞).

Front

What is the range of the linear function f(x) = 2x + 3?

Back

The range is all real numbers, or in interval notation: (-∞, ∞).

Front

How do you find the domain of a function defined by a square root?

Back

The domain is determined by setting the expression inside the square root greater than or equal to zero.