The average rate of change of f(x), represented by the table is 13
Rate of change of expression
The formula for calculating the rate of change which is also known as the slope is expressed as;
Rate of change = f(b)-f(a)/b-a
Using the interval [1 3]
f(1) = 3^1 = 1
f(3) = 3^3 = 27
Substitute
Rate of change = 27-1/3-1
Rate of change= 26/2
Rate of change= 13
Hence the average rate of change of f(x), represented by the table is 13
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