Domain and Range

Front

What is the definition of Domain in mathematics?

Back

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

Front

What is the definition of Range in mathematics?

Back

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

Front

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

Back

Identify the x-values that the graph covers from left to right.

Front

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

Back

Identify the y-values that the graph covers from bottom to top.

Front

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

Back

All real numbers, since you can input any real number into the function.

Front

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

Back

All real numbers greater than or equal to 0, since the output is always non-negative.

Front

If a function has a Domain of -4 ≤ x ≤ 3, what does this mean?

Back

The function accepts x-values from -4 to 3, inclusive.

Front

If a function has a Range of {0, 6, 12, 18}, what does this mean?

Back

The function can output only the values 0, 6, 12, and 18.

Front

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

Back

All real numbers except x = 0, since division by zero is undefined.

Front

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

Back

All real numbers except y = 0, since the output can never be zero.