SOLUTION: Please help me with this math problem (thank you so much)? F(x)=1/x find different quotient, F(x+h)-f(x)/h of f: Also find the average rate of change of f of the interval [1,3

Algebra ->  Trigonometry-basics -> SOLUTION: Please help me with this math problem (thank you so much)? F(x)=1/x find different quotient, F(x+h)-f(x)/h of f: Also find the average rate of change of f of the interval [1,3      Log On


   



Question 405373: Please help me with this math problem (thank you so much)?
F(x)=1/x
find different quotient, F(x+h)-f(x)/h of f:
Also find the average rate of change of f of the interval [1,3]
List the interval on which f is increasing or decreasing, if there is any

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
.
TO find the A.R.C. from 1 to 3, let x = 1, and h = 2 above, so that
A.R.C. = -2/(1*3) = -2/3.
The graph of F(x) = 1/x is a hyperbola with x-axis as horizontal asymptote and y-axis as vertical asymptote. It is decreasing over its domain.