In Problems 1-4, for each given function find the average rate of change over each specified interval.

1. For the function f(x) = x² + x - 12, find the average rate of change over the intervals:
(a) [0, -5)
(b) (-3, 10]

2. For the function f(x) = 6 - x - x², find the average rate of change over the intervals:
(a) (-1, 2)
(b) (1, 10)

3. For the function f(x) given by the table:

x | f(x)
––––
1 | 10
2.5 | 13
3.8 | 4
4 | 5
5 | 14

Find the average rate of change over the intervals:
(a) [2, 5]
(b) (3.8, 4]

4. For the function f(x) given in the table:

x | f(x)
–––––
3 | 76
3.5 | 40

Find the average rate of change over the intervals:
(a) (3, 3.5]
(b) [2, 6]