Domain and Range of Functions

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

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

Front

What does the notation -4 < x ≤ 6 represent?

Back

It represents the domain of a function where x can take any value greater than -4 and up to and including 6.

Front

If a function has a range of {0, 4, 7}, what does this mean?

Back

It means the output values of the function can only be 0, 4, or 7.

Front

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

Back

The domain is all real numbers, represented as -∞ < x < ∞.

Front

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

Back

The range is all non-negative real numbers, represented as y ≥ 0.

Front

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

Back

Identify the x-values for which the graph exists; these values make up the domain.

Front

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

Back

Identify the y-values that the graph reaches; these values make up the range.

Front

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

Back

f(x) = √x has a domain of x ≥ 0.

Front

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

Back

f(x) = sin(x) has a range of -1 ≤ y ≤ 1.