Question

Determine the range of the following graph:

Answer 1

Answers:

Domain is
`-2 \le x \le 10` which converts to the interval notation [-2, 10]

Range is
`-3 \le y \le 2` which converts to the interval notation [-3, 2]

Step-by-step explanation:

The domain is the set of allowed x inputs. The left-most point happens when x = -2. The right-most is when x = 10. We can select any x value between these two endpoints. We include each endpoint because of the closed filled in endpoints. This is how we arrive at the domain
`-2 \le x \le 10` and that condenses to the interval notation [-2, 10]. Use square brackets to include each endpoint.

The range is the set of possible y values or outputs. The lowest the function curve can go is y = -3, and the highest is when y = 2. Therefore the range is the set of y outputs such that
`-3 \le y \le 2` and that condenses to the interval notation [-3, 2]

Answer 2

Step-by-step explanation:

RANGE is the set of 'y' values a graph can have ....this one goes from -3 to 2 inclusive

range = [-3,2] or -3<= y <= 2