Mathematics, 26.06.2019 16:50 skyrileycasting
What is the average rate of change of the function over the interval x = 0 to x = 5? f(x) = 2x^2 - 1enter your answer, as a fraction, in the box.
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)= 2x^2-1\qquad \begin{cases} x_1=0\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(0)}{5-0} \\\\\\ \cfrac{[2(5)^2-1]~~-~~[2(0)^2-1]}{5}\implies \cfrac{50-(-1)}{5}\implies \cfrac{50+1}{5}\implies \cfrac{51}{5}\implies 10\frac{1}{5}](/tpl/images/0020/1672/f179a.png)
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What is the average rate of change of the function over the interval x = 0 to x = 5? f(x) = 2x^2 - 1...
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