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$\left[4,8\right]$

Step-by-step solution

Step 1. Given graph of the function

Step 2. Observe the graph and find the domain and range.

When we look at the graph of the function then we get to know that the value of $x$is lying from -6 to 6, so the domain of the function is $\left[-6,6\right]$

Similarly when we look at the graph for the values of $y$then we get that the value of $y$is lying from 4 to 8

So the range of the function is$\left[4,8\right]$