Given that the average rate of change for y = f(x) over the interval [0,3] is −1, the average rate of change over the interval [2,3] is 5, and the average rate of change over the interval [2,6] is 3, determine the average rate of change over the interval [0,6].

Answer is 2

Step-by-step explanation:

We know that average rate of change of a function f(x) in the interval (a,b) is

Using this we can say that

Using properties of integration we have

3 to 6 integral = 20-5 =15

0 to2 integral = -3=5 =-8

Thus integral form 0 to 6 would be = -8+15+5 = 12

Average rate of change form 0 to 6 =

Answer is 2

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.