Answer:
Given that,
To find the the domain or range of the given function represented in the graph.
Step-by-step explanation:
we know that,
The domain is the set of all the input values of a function and range is the possible output given by the function.
A domain of a function refers to "all the values" that go into a function. The domain of a function is the set of all possible inputs for the function. ( that is all possible x values)
From the graph, the possible x values are,
![[-2,4]](https://img.qammunity.org/2023/formulas/mathematics/college/kibfr7fxu478sxol1gdzcnwxon923wap5e.png)
The domain of the function is,
![[-2,4]](https://img.qammunity.org/2023/formulas/mathematics/college/kibfr7fxu478sxol1gdzcnwxon923wap5e.png)
The range of a function is the set of all its outputs. (that is all possible y values).
From the graph, all possible y values are,
![[-4,2]](https://img.qammunity.org/2023/formulas/mathematics/college/9r82kxd6jqope3schs0ersowj7fm7wq0cy.png)
The range of the function is,
![[-4,2]](https://img.qammunity.org/2023/formulas/mathematics/college/9r82kxd6jqope3schs0ersowj7fm7wq0cy.png)
Answer is:
The domain of the function is,
![[-2,4]](https://img.qammunity.org/2023/formulas/mathematics/college/kibfr7fxu478sxol1gdzcnwxon923wap5e.png)
The range of the function is,
![[-4,2]](https://img.qammunity.org/2023/formulas/mathematics/college/9r82kxd6jqope3schs0ersowj7fm7wq0cy.png)