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Find the average rate of change of each function on the interval specified.

i only need #5 thank you :)

Find The Average Rate Of Change Of Each Function On The Interval Specifiedi Only Need 5 Thank You class=

Sagot :

LammettHashidn

The average rate of change (AROC) of a function f(x) on an interval [a, b] is equal to the slope of the secant line to the graph of f(x) that passes through (a, f(a)) and (b, f(b)), a.k.a. the difference quotient given by

[tex]f_{\mathrm{AROC}[a,b]} = \dfrac{f(b)-f(a)}{b-a}[/tex]

So for f(x) = x² on [1, 5], the AROC of f is

[tex]f_{\mathrm{AROC}[1,5]} = \dfrac{5^2-1^2}{5-1} = \dfrac{24}4 = \boxed{6}[/tex]

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