SOLUTION: A linear function is given. a. Find the average rate of change of the function x=a and x=a+h b. Show that the average rate of change is the same as the slope of the line f(x

Question 823442: A linear function is given.
a. Find the average rate of change of the function x=a and x=a+h
b. Show that the average rate of change is the same as the slope of the line
f(x)= 1/2x+3
Please help. I am not very good with these kind of equations.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A linear function is given.
a. Find the average rate of change of the function x=a and x=a+h
b. Show that the average rate of change is the same as the slope of the line
f(x)= 1/2x+3
-------
f(a+h) = (1/2)(a+h)+3 = (1/2)a + (1/2)h + 3
f(a) = (1/2)a + 3
------
f(a+h)-f(a) = (1/2)h
------
Average = [f(a+h)-f(a)]/[(a+h)-a] = [(1/2)h]/h = 1/2
----------------------------
Cheers,
Stan H.
============
RELATED QUESTIONS
A linear function is given. (a) Find the average rate of change of the function between (answered by venugopalramana)

find the average rate of change of the function between b). Show that the average rate... (answered by Boreal)

Hi Can I have some help with a linear function is given? g(x) = -7x + 8 (a) Find the... (answered by stanbon)

A function is given below. Determine the average rate of change of the function between x (answered by stanbon)

A function is given below. Determine the average rate of change of the function between... (answered by Fombitz)

A function is given. Determine the average rate of change of the function between the... (answered by stanbon)

Suppose the function f has the same average rate of change C between any two points; then (answered by Fombitz)

Find two integers a and b such that the average rate of change of the function f(x)=x^3... (answered by josgarithmetic)