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Identify the domain for this graph

(3 points)
Responses

(−1.5,1)
open paren negative 1 point 5 comma 1 close paren

[−1.5,1)
left bracket negative 1 point 5 comma 1 right parenthesis

[−1.5,1]
left bracket negative 1 point 5 comma 1 right bracket

(−1.5,1]

1 answer

To accurately identify the domain of the graph, it's important to look at the x-values covered by the graph. The notation for intervals is as follows:

  • Parentheses ( ) indicate that the endpoint is not included (open interval).
  • Brackets [ ] indicate that the endpoint is included (closed interval).

Without seeing the actual graph, I can guide you based on common interval notation:

  1. (−1.5, 1) means all x-values between -1.5 and 1, not including -1.5 and 1.
  2. [−1.5, 1) means all x-values between -1.5 and 1, including -1.5 but not including 1.
  3. [−1.5, 1] means all x-values between -1.5 and 1, including both -1.5 and 1.
  4. (−1.5, 1] means all x-values between -1.5 and 1, excluding -1.5 but including 1.

To choose the correct option, you would need to determine whether the endpoints -1.5 and 1 are included in the domain based on the graph's appearance. If you have more details about the graph (like if it has open or closed points at these values), I can help you narrow it down further.