Domain and Range

Front

What is the definition of Domain in a relation?

Back

The set of all x-values in a relation.

Front

What is the definition of Range in a relation?

Back

The set of all y-values or outputs in a relation.

Front

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

Back

The domain is all real numbers, written as (-∞, ∞).

Front

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

Back

The range is all non-negative real numbers, written as [0, ∞).

Front

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

Back

Identify the x-values for which the graph exists.

Front

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

Back

Identify the y-values that the graph reaches.

Front

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

Back

The domain is all real numbers except x = 0.

Front

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

Back

The range is all real numbers except y = 0.

Front

If a function has a domain of x ≥ -2, what does this mean?

Back

The function is defined for all x-values greater than or equal to -2.

Front

If a function has a range of y ≤ 3, what does this mean?

Back

The function outputs values that are less than or equal to 3.