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

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step-by-step explanation:

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step-by-step explanation: