Question

Please help!
F(x)=1-3x;x=4,x=4+h
Determine net change and average change between the given values of the variables

Answer 1

f(x) = 1-3x, x = 4 , x = 4+h

(a) find the net change of f(x):  

f1= f(x=4) = 1-3(4) = 1 - 12 = -11

f2= f(x=4+h) = 1-3(4+h) = 1-12 + 3h = -11 - 3h

Net change = f2 - f1 = -11 -3h - -11 = -3h

(b) average rate of change = slope = (f2 - f1)/(x2-x1) = -3h/((4+h)-4 =-3