Question

In the following exercise, use the graph of the function to find its domain and range. Write the domain and range in interval notation.

Short answer

The domain of the function is $\left[-6,6\right]$

The range of the function is $\left[4,10\right]$

Step-by-step solution

Step 1. Given graph of the function 

Step 2. To find domain of the function  

To find the domain we will look at the given graph and find all the values of $x$that correspond to a point on the graph.

Here corresponding values of $x$to the graph is from -6 to 6

So, the domain is $\left[-6,6\right]$

Step 3. To find the range of the function  

To find the range we look at the graph and find all the values of $y$that correspond to a point on the graph.

Here Values of $y$ranging from 4 to 10

So, the range is $\left[4,10\right]$