Question

How do you find the average rate of change of `g ( x) =10x −3` over the interval [1,5]?

Answer 1

The average rate of change is `10`.

Explanation:

The average rate of change is the same as the slope from one endpoint to the other. Since the graph of this function is a line, the average rate of change is the slope of the line.

OR

The average rate of change of `f(x)` on `[a,b]` is `(f(b)-f(a))/(b-a)`

in this case we get

`(g(5) - g(1)) /(5-4) = (47-7)/4 = 10`