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