SOLVED:PROVE: Functions with Constant Rate of Change Are Linear Suppose that the function f has the same average rate of change c between any two points. (a) Find the average rate of change of f between the points a and x to show that c=(f(x)-f(a))/(x-a) (b) Rearrange the equation in part (a) to show that f(x)=c x (f(a)-c a) How does this show that f is a linear function? What is the slope, and what is the y -intercept?
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