Answer :
The average rate of change of f(x), represented by the table is 1/7
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 [-3 4]
f(b) = f(4) = 7
f(x) = f(-3) = 6
Substitute
Rate of change = 7-6)/4-(-3)
Rate of change= 1/7
Hence the average rate of change of f(x), represented by the table is 1/7
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