Question

2. The graph of a function is shown on the coordinate plane



What are the domain and range for the function?

(1 point)
Responses

Domain: −8≤y≤−2
Range: −2≤x≤2
Domain: −8≤y≤−2
Range: −2≤x≤2

Domain: −8≤x≤−2
Range: −2≤y≤2
Domain: −8≤x≤−2
Range: −2≤y≤2

Domain: All Real Numbers, Range: All Real Numbers
Domain: All Real Numbers, Range: All Real Numbers

Domain: x≥−8
Range: y≤−2

Answer 1

To determine the domain and range of a function from a graph, we look at the values of \(x\) (horizontal values) and \(y\) (vertical values).

1. **Domain** refers to all the possible values of \(x\) for which the function is defined.
2. **Range** refers to all the possible values of \(y\) that the function can take.

Based on the options given, here are the interpretations for each:

- **Domain: −8≤y≤−2; Range: −2≤x≤2**
- This option is incorrect because the domain deals with \(x\) values and range deals with \(y\) values.

- **Domain: −8≤x≤−2; Range: −2≤y≤2**
- This option appears correct if the graph defined within \(x\) values from \(-8\) to \(-2\) and \(y\) values from \(-2\) to \(2\).

- **Domain: All Real Numbers, Range: All Real Numbers**
- This option is incorrect unless the graph extends indefinitely in both directions on the coordinate plane, which is usually rare.

- **Domain: x≥-8; Range: y≤-2**
- This option indicates that the \(x\) values start at \(-8\) and go infinitely to the right (greater than or equal to \(-8\)) and the \(y\) values are all values less than or equal to \(-2\). This might be correct if the graph has that kind of behavior.

Without a specific graph reference, I recommend selecting the option that matches the behavior of the graph you're analyzing. If the graph is confined between the \(x\) values of \(-8\) and \(-2\) with corresponding \(y\) values from \(-2\) to \(2\), then the second option is the correct choice. If the graph suggests otherwise, you'd need to select according to the presented characteristics of the function.