Question

WHAT IS THE DOMAIN IN THIS Graph?

Answer 1

Answer: Choice C

Domain is
`-12 \le \text{x} \le 10`

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Step-by-step explanation:

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

x = -12 is the furthest to the left we can go. This value is included due to the closed endpoint.

x = 10 is the furthest to the right we can go, and it's also included because of the closed endpoint.

The values x = -6 and x = 6 are also included. Yes there are open holes here, but the closed endpoints take over to ensure these x values aren't excluded.

Basically we can pick any number from x = -12 to x = 10, including both endpoints. Therefore, the domain is
`-12 \le \text{x} \le 10`

If you wanted to write this in interval notation, then it would be [-12, 10]. Use square brackets to include each endpoint.