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

Algebra ->  Functions -> SOLUTION: A linear function is given. (a) Find the average rate of change of the function between x = a and x = a + h. (b). Show that the average rate of change is the same as the slope o      Log On


   

Question 44924This question is from textbook College Algebra
: A linear function is given. (a) Find the average rate of change of the function between x = a and x = a + h. (b). Show that the average rate of change is the same as the slope of the line.
g(x) = -4x + 2
I came out with 4 for both answers.
Thank you so much! This question is from textbook College Algebra

Answer by venugopalramana(3286) About Me  (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 between x = a and x = a + h. (b). Show that the average rate of change is the same as the slope of the line.
g(x) = -4x + 2
g(a+h)=-4(a+h)+2=-4a-4h+2
g(a)=-4a+2
g(a+h)-g(a)=-4h
avg.rate of change = {g(a+h)-g(a)}/(a+h-a)=-4h/h=-4
slope of the given line =-4
I came out with 4 for both answers....no -4 is the answer
Thank you so much!