Domain and Range

Front

What is the Domain of a function?

Back

The set of all possible input values (x-values) for a function.

Front

What is the Range of a function?

Back

The set of all possible output values (y-values) for a function.

Front

How can you determine if a relation is a function?

Back

A relation is a function if each x-value has exactly one y-value associated with it.

Front

What does it mean if a function has a restricted domain?

Back

It means that not all possible x-values are included in the function.

Front

What is an example of a function with a limited domain?

Back

f(x) = √x, where x must be greater than or equal to 0.

Front

What is an example of a function with a limited range?

Back

f(x) = x^2, where the range is y ≥ 0.

Front

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

Back

All real numbers, or (-∞, ∞).

Front

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

Back

y ≤ 0, since the function opens downwards.

Front

If a function is defined as f(x) = 3x - 1, what is its domain?

Back

All real numbers, or (-∞, ∞).

Front

If a function has the points (1, 2), (2, 3), (1, 4), is it a function?

Back

No, because the x-value 1 has two different y-values (2 and 4).