Question #3cf88

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Question #3cf88

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Answer 1 · 2017-08-19T19:26:55

$1$ $1$

Explanation:

$the average rate of change of a function f(x)$ $"the average rate of change of a function f(x) "$
$is the slope of the secant line joining the points$ $"is the slope of the "color(blue)"secant line"" joining the points"$

$(a, f (a)) and (b, f (b))$ $(a,f(a))" and "(b,f(b))$

$here [a, b] = [0, 2]$ $"here "[a,b]=[0,2]$

$m = \frac{f (b) - f (a)}{b - a}$ $m=(f(b)-f(a))/(b-a)$

$m = \frac{4 - 2}{2} = 1$ $color(white)(m)=(4-2)/2=1$

$this means that the average of all the slopes of tangents$ $"this means that the average of all the slopes of tangents"$
$to the graph of f(x) between (0, 2) and (2, 4) is 1$ $"to the graph of f(x) between "(0,2)" and "(2,4)" is 1"$

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Question #3cf88

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