Question

Find the domain and range of the function graphed below.
closed circle -2 and open circle 3
domain:
range:

Answer 1

To determine the domain and range based on the description provided (closed circle at -2 and open circle at 3), here's how we interpret it:

**Domain:**
The domain is the set of all possible \( x \)-values for which the function is defined. With a closed circle at -2, it suggests that -2 is included in the domain. An open circle at 3 indicates that 3 is not included in the domain.

Therefore, the domain can be expressed as:
\[
[-2, 3)
\]

**Range:**
The range is the set of all possible \( y \)-values the function can take. Without further details about how the function behaves between these points, a common interpretation is that the function spans all values between the y-values represented by the closed circle (at -2) and the open circle (at 3).

Assuming the function is continuous and goes from -2 to something less than 3, if the function takes y-values from -2 to 3 but does not include 3, then the range is:
\[
[-2, 3)
\]

Thus, both the domain and range of the function based on the description provided are:
- **Domain:** \([-2, 3)\)
- **Range:** \([-2, 3)\)

If the function behaves differently, please provide additional information for a more tailored answer.