Answer:
![Ran(f)=[4,\infty)](https://img.qammunity.org/2021/formulas/mathematics/high-school/4qhsxil9f9n8ij6cp4pzk8bnnn50wsx5j4.png)
Explanation:
The parent function of the absolute value function is
![|x|](https://img.qammunity.org/2021/formulas/mathematics/college/fuvcmihys554f3fgoyfqwt2d7jxt3hxrwo.png)
The function given is shifted vertically to
, therefore, we are working in the function
, such as
![f(x)=|x|+4](https://img.qammunity.org/2021/formulas/mathematics/high-school/6wv2nkynnurvchfhtpef0j0twct3o1dhzp.png)
![Dom(f)=(-\infty, \infty) = \mathbb{R}](https://img.qammunity.org/2021/formulas/mathematics/high-school/ajefu4xknrr75iamz0p8lqqdn6hvkbl7ji.png)
The range/image represents all the possible outputs of the function. It is shown in the y-axis.
Therefore,
![Ran(f)=[4,\infty)](https://img.qammunity.org/2021/formulas/mathematics/high-school/4qhsxil9f9n8ij6cp4pzk8bnnn50wsx5j4.png)