Let f(x)=-log(4x) + 5

What is the average rate of change of f(x) from 3 to 8? Round to the nearest hundredth.

Can someone please help me with this, I really appreciate the help! Thank you so much.

Avg rate of change =

[ f(b) - f(a)]

_________ let b = 8 and a = 3 and we have

b - a

[ log(4*8) + 5 ] - [ log (4*3) + 5 ] log (32) - log(12)

__________________________ = _________________

8 - 3 5

And we can write

log(32/12) / 5 = log(8/3) / 5 ≈ .085