Domain And Range

Front

What is the DOMAIN of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What is the RANGE of a function?

Back

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

Front

What does an OPEN circle on a graph indicate?

Back

It indicates that the endpoint is not included in the domain or range.

Front

What does a CLOSED circle on a graph indicate?

Back

It indicates that the endpoint is included in the domain or range.

Front

If a function has a domain of x > -3, what does this mean?

Back

The function is defined for all x-values greater than -3, but not including -3.

Front

How do you determine the domain from a graph?

Back

Identify the x-values for which the graph exists; look for any restrictions such as holes or asymptotes.

Front

How do you determine the range from a graph?

Back

Identify the y-values that the graph reaches; consider the highest and lowest points.

Front

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

Back

All real numbers except x = 0, since the function is undefined at x = 0.

Front

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

Back

All real numbers y ≥ 0, since the output of x^2 is always non-negative.

Front

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

Back

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