Domain, Range, and Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x) for a function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y) for a function.

Front

Does the following table represent a function? (x: 1, 2, 3; y: 4, 5, 6)

Back

Yes! Each input has a unique output.

Front

Does the following table represent a function? (x: 1, 2, 2; y: 4, 5, 6)

Back

No! The input '2' has two different outputs.

Front

How do you find the range from a set of values?

Back

List all the output values and identify the smallest and largest values.

Front

What is the domain of the graph represented by the equation y = x^2?

Back

All real numbers (x can take any value).

Front

What is the range of the graph represented by the equation y = x^2?

Back

y ≥ 0 (the output is always non-negative).

Front

If a function has a domain of -7 ≤ x < 5, what does this mean?

Back

It means x can take any value from -7 up to, but not including, 5.

Front

What does it mean if a function's range is -2 ≤ y ≤ 10?

Back

It means y can take any value from -2 to 10, including both endpoints.