Question

Compute the average rate of change of f from X, to X2.

f(x) = 2x – 8, Xy = 4 and x2 = 9
The average rate of change from 4 to 9 is
(Simplify your answer. Round to two decimal places as needed.)

Answer 1

`slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2x-8\qquad \begin{cases} x_1=4\\ x_2=9 \end{cases}\implies \cfrac{f(9)-f(4)}{9-4} \\\\\\ \cfrac{[2(9)-8]~~-~~[2(4)-8]}{5}\implies \cfrac{10~~-~~0}{5}\implies 2`