Domain and Range of Functions

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 is the definition of domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

How do you find the range of a graph?

Back

The range is found by reading the ends of the graph from bottom to top.

Front

How do you find the domain of a graph?

Back

The domain is found by reading the ends of the graph from left to right.

Front

What is the range of the function represented by the graph with endpoints at (-3, 1)?

Back

The range is [-3, 1).

Front

What is the range of the function represented by the graph with endpoints at (-∞, 2)?

Back

The range is (-∞, 2].

Front

What is the domain of the function represented by the graph with endpoints at (0, 5)?

Back

The domain is (0, 5].

Front

What is the domain of the function represented by the graph with endpoints at (-2, +∞)?

Back

The domain is [-2, +∞).

Front

If a function has a range of [-2, 2], what does this mean?

Back

This means that the output values of the function can be any number from -2 to 2, including -2 but not including 2.

Front

What does it mean if a function's domain is (-∞, +∞)?

Back

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