Question: For a function f(x) and a particular input value x = a, then we may write the difference quotient as f(a+h)-f(a) h f we

For a function f(x) and a particular input value x = a,

For a function f(x) and a particular input value x = a, then we may write the difference quotient as f(a+h)-f(a) h f we = 6. where h#0. Now, let f(x)=x3-13x and consider the input value a = 3. We could now write the difference quotient as where h +0. f(3+h)-f(3) h Use this difference quotient to calculate the average rate of change of f(x) from x=3 to x=3+h for the following particular values of h. When h=0.2, the average rate of change of f(x) is. When h=0.1, the average rate of change of f(x) is. When h=0.01, the average rate of change of f(x) is. When h = -0.01, the average rate of change of f(x) is When h=-0.1, the average rate of change of f(x) is. When h=-0.2, the average rate of change of f(x) is Correct Answers: 15.84

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