Identify the domain for this graph

graph shows 2 points (-1.5, 1.8) and (1,3)

(3 points)
Responses

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

[−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)
open paren negative 1 point 5 comma 1 close paren

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To determine the domain of the graph based on the points provided, which are (-1.5, 1.8) and (1, 3), we can consider the x-coordinates of the points.

The x-coordinates are:

  • For the point (-1.5, 1.8), the x-coordinate is -1.5.
  • For the point (1, 3), the x-coordinate is 1.

From the given points, we can deduce the following about the domain:

  • The domain starts at -1.5 and goes up to 1.
  • There is no indication that the x-values outside this range are included based on the provided points.

Now, we consider the options given:

  1. (−1.5,1] - This indicates that -1.5 is not included but 1 is included.
  2. [−1.5,1) - This indicates that -1.5 is included but 1 is not included.
  3. [−1.5,1] - This indicates that both -1.5 and 1 are included.
  4. (−1.5,1) - This indicates that both -1.5 and 1 are not included.

Since we have the endpoints (-1.5, 1.8) and (1, 3), it suggests that both endpoints can be included depending on the context of the data. If continuity or the trend were specified and neither endpoint were restrictions, it would imply inclusion.

The best choice for the domain based on both endpoints potentially being represented in the data context (from 1.8 at -1.5 to 3 at 1, both having corresponding x values) would be:

[−1.5, 1]

So the correct response is: [−1.5,1] left bracket negative 1 point 5 comma 1 right bracket.