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 a 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

Identify the domain of the function f(x) = x^2.

Back

Domain: All real numbers.

Front

Identify the range of the function f(x) = x^2.

Back

Range: y ≥ 0.

Front

What does it mean for a function to have a domain of all real numbers?

Back

It means that the function can accept any real number as an input.

Front

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

Back

Range: All real numbers.

Front

If a function has a domain of [-3, 5], what does this mean?

Back

The function is defined for all x-values from -3 to 5, inclusive.

Front

What is the range of the function f(x) = -2x + 4?

Back

Range: All real numbers.

Front

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

Back

Look for the x-values where the graph exists; any x-value not represented is excluded from the domain.

Front

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

Back

Look for the y-values that the graph reaches; any y-value not represented is excluded from the range.