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)

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 where h 0. Now, let f(x) = x - 7x 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

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