Domain and Range

Front

What is the definition of Domain in a function?

Back

The Domain of a function is 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 Range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean if a function has a Domain of All real numbers?

Back

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

Front

What does it mean if a function has a Range of All real numbers?

Back

It means that the function can produce any real number as an output.

Front

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

Back

The Domain can be determined by identifying the x-values that the graph covers.

Front

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

Back

The Range can be determined by identifying the y-values that the graph covers.

Front

What is the Domain of the function f(x) = 1/(x-2)?

Back

The Domain is all real numbers except x = 2, since the function is undefined at that point.

Front

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

Back

The Range is all real numbers y such that y >= 0, since the output of a square function is always non-negative.

Front

If a function has a Domain of -3 < x ≤ 3, what does this mean?

Back

It means that x can take any value greater than -3 and up to and including 3.

Front

If a function has a Range of -5 < y < 4, what does this mean?

Back

It means that y can take any value greater than -5 and less than 4.