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

What is the domain of the function f(x) = 1/(x-2)?

Back

All real numbers except x = 2.

Front

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

Back

The range is all real numbers y such that y ≥ 0.

Front

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

Back

The range can include any output values corresponding to the inputs 1, 2, and 3.

Front

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

Back

The domain is all real numbers x such that x ≥ 0.

Front

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

Back

The range is all real numbers.

Front

How do you find the range of a function from a graph?

Back

Identify the lowest and highest points on the y-axis that the graph reaches.

Front

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

Back

The domain is all real numbers x such that x > 0.

Front

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

Back

The range is [-1, 1].