Mathematics, 25.06.2019 08:40 airrish
8. let f(x) = x 2 + 3x − 12 what is the average rate of change from x = 3 and x = 5?
Answers: 1
![\bf 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)= x^2+3x-12\qquad \begin{cases} x_1=3\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(3)}{5-3} \\\\\\ \cfrac{[(5)^2+3(5)-12]~~-~~[(3)^2+3(3)-12]}{2}\implies \cfrac{[25+3]~~-~~[9-3]}{2} \\\\\\ \cfrac{28-6}{2}\implies \cfrac{22}{2}\implies 11](/tpl/images/0015/0400/55a17.png)
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8. let f(x) = x 2 + 3x − 12 what is the average rate of change from x = 3 and x = 5?...
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