The average rate of change for the function is 3. The correct answer is option B.
What is the average rate of change?
The average rate of change of the exponential function represented by the table of values above can be calculated using the general formula for the average rate of change of a function, which is given as:-
[tex]m =\dfrac{f(b)-f(a)}{b-a}[/tex]
Where,
a = 1, f(1) = 7
b = 3, f(3) = 13
Plug in the above values in the average rate of change formula:
[tex]m =\dfrac{13-7}{3-1}[/tex]
m = 3
Therefore, the average rate of change for the function is 3. The correct answer is option B.
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