Question

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

Answer 1

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

Step-by-step explanation:

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

`m_(avg)=(f(a)-f(b))/(a-b)`

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

`M_(avg)=(71-59)/(5-3)=6`