The table represents function f.I3456789¡(I)59637187119183311Function gis an exponential function passing through the points (8,-53) and (5,-41). Which statement is true over the interval (3, 5]7

The table represents function fI3456789I59637187119183311Function gis an exponential function passing through the points 853 and 541 Which statement is true ove class=

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Answer:

Choice B; The average rate of change of f is the same as g.

Explanation:

The average rate of change of a function f(x) over an interval [a, b] is defined as

[tex]m_{avg}=\frac{f(a)-f(b)}{a-b}[/tex]

Now in our case for f(x) over [3, 5]. Since f(3) = 59 and f(5) = 71, the average rate of change in the above equation becomes

[tex]M_{avg}=\frac{71-59}{5-3}=6[/tex]