Review Domain and Range

Front

What is the definition of 'Domain' in a function?

Back

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 set of all possible output values (y-values) that a function can produce.

Front

What does it mean if the range of a function is (-∞, ∞)?

Back

It means that the function can produce all real numbers as output.

Front

What does it mean if the range of a function is [2, 5)?

Back

It means that the function outputs values starting from 2 (inclusive) up to, but not including, 5.

Front

How do you determine the range of a graph?

Back

Identify the lowest and highest points on the graph and the y-values they correspond to.

Front

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

Back

The domain is all real numbers except x = 0, or (-∞, 0) U (0, ∞).

Front

What is the domain of a function that is defined for all x-values?

Back

The domain is (-∞, ∞).

Front

If a graph has a horizontal line at y = 3, what can you say about its range?

Back

The range is {3}, meaning the function only outputs the value 3.

Front

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

Back

The domain is [0, ∞), since you cannot take the square root of a negative number.

Front

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

Back

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