The graph of a function is shown on the coordinate plane

Question

(-8,2) (-2,-2)
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 from the given points (-8, 2) and (-2, -2), let's analyze the information:

1. Domain: This refers to the set of all possible x-values (the first element of the ordered pairs). The x-values from the points are -8 and -2. Therefore, the domain of the function is the interval from -8 to -2, inclusive.

2. Range: This refers to the set of all possible y-values (the second element of the ordered pairs). The y-values from the points are 2 and -2. Therefore, the range is the interval from -2 to 2, inclusive.

Given this information, the correct answers are:

• Domain: \(-8 \leq x \leq -2\)
• Range: \(-2 \leq y \leq 2\)

Thus, the correct choice is:

Domain: \(−8≤x≤−2\)
Range: \(−2≤y≤2\)