Question

Find the domain of the function below and write it in interval notation.

Answer 1

Answer:  [-3, 2)

Explanation:

The domain is the set of all allowed x inputs of a function.

The smallest x can get is x = -3 as shown by the left-most point.

The largest x can get is x = 2, though we can't actually reach this value due to the open hole at the right-most point.

The interval of all possible x values is $-3 \le x < 2$ which converts to the interval notation [-3, 2)

We use a square bracket to include the endpoint and a parenthesis to exclude the endpoint.

We can say "x is any number between -3 and 2, including -3 but excluding 2".