Question

What is the domain and range of the graph below? any help would be greatly appreciated!

Answer 1

`\text{Here, all the x-values of the function lies between -5 and 4 inclusive.}\\\therefore\ \text{Domain = }[-5,4]\\\text{Similarly, all the y-values of the function lies between 3 and -3.}\\\therefore\ \text{Range = }[-3,3].`

Answer 2

Domain = [-5, 4]

Range = [-3, 3]

Explanation:

Domain

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

The endpoints of the graphed function are (-5, 1) and (4, 2), and the curve is continuous between these two points. As the endpoints are represented by closed circles, this means they are included in the domain. (If the endpoints were represented by open circles, they would not be included in the domain.) Therefore, the domain of the graphed function is [-5, 4].

Range

The range of a function is the set of all possible output values (y-values) for which the function is defined.

The minimum y-value is y = -3 and the maximum y-value is y = 3. Therefore, the range of the graphed function is [-3, 3].