Find the average rate of change of the function f(x)=7/x-4 in the interval [0,2]?

the average rate of change of the function y=f(x) in the interval [a,b] is (f(b)-f(a))/(b-a)

y = f(x) = 7/(x - 4)

When x = 0 :
y = 7/(0 - 4)
y = -7/4

When x = 2 :
y = 7/(2 - 4)
y = -7/2

Average rate of change
= Δy/Δx
= [(-7/2) - (-7/4)] / (2 - 0)
= -(7/4) / 2
= -7/8

average rate of change is the slope of the endpoints