a function is given

Question

g(x)=2/x+7; x=0,x=h

determine the net change and average rate of change between the given values of the variable.

Answer 1

Hi,

g(x)=2/(x+7); x=0,x=h

1) g(0) = 2/7

2) g(h)=2/(h+7)

3 ) change of average = [g(h) - g(0)] / h now replace 1 and 2 in 3

4) change of average = [2/(h+7) - 2/7 ] / h after taking common denominator and simplify you will have:

5)change of average = -2h / 7h(h+7) -----> change of average = -2/7(h+7)

now if h approaches to the 0 derivative at x=0 will be -2/49 that it is net change and average rate of change

I hope it is useful,

Minoo