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) = x^2, what is the range when the domain is {0, 1, 2}?

Back

{0, 1, 4}

Front

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

Back

All real numbers except x = 0.

Front

How do you find the range of a function from a set of ordered pairs?

Back

Identify the second elements (y-values) of each ordered pair.

Front

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

Back

All real numbers x such that x ≥ 0.

Front

If a function has a domain of {1, 2, 3}, what can you say about its range?

Back

The range can be any set of values corresponding to the inputs 1, 2, and 3.

Front

What is the range of the function f(x) = -x + 5 when the domain is {0, 1, 2, 3}?

Back

{5, 4, 3, 2}

Front

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

Back

All real numbers x such that x > 0.

Front

How do you determine the domain of a function from its graph?

Back

Look for the x-values that the graph covers.