Graph the piecewise function below show your work or provide an explanation.

2²+ 5 7 < 1

F(x) =10 1 3

3 + 6 > 3

1. Determine the value of the function at the points f( -5), f( 2), f( 6).
2. Calculate the average rate of change between the points x = -7 and x -5. What does the average rate tell you about the function?
3. Calculate the average rate of change between the points x = 3 and x = 4. What does the average rate tell you about the function?
4. Describe the domain and range of your function in interval form.
5. Describe in interval notation where your function is increasing, decreasing or constant.