Domain And Range

Front

What is the domain of a function?

Back

The set of all x-values for which the function is defined.

Front

What is the range of a function?

Back

The set of all y-values that a function can output.

Front

How do you determine the domain from a graph?

Back

Identify the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

Identify the y-values that the graph covers.

Front

What does an open circle on a graph indicate?

Back

The value at that point is not included in the domain or range.

Front

What does a closed circle on a graph indicate?

Back

The value at that point is included in the domain or range.

Front

If a graph extends infinitely to the left, what is the domain?

Back

The domain is all x-values less than or equal to the leftmost point.

Front

If a graph extends infinitely upwards, what is the range?

Back

The range is all y-values greater than or equal to the lowest point.

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) = x^2?

Back

The range is all real numbers y such that y ≥ 0.