Given the function f(x)=3-a (a) Determine the average rate of change of f(x) from r =...

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Given the function f(x)=√3-a (a) Determine the average rate of change of f(x) from r = -1 to x = 2. (b) Determine the average rate of change of f(x) from x = a -0.001 to x = a (where a ≤ 3). (c) Use your result from (b) to find the average rate of change of f(r) from x = 1.999 to r = 2. Round your answer to 4 decimal places. (d) Use your result from (c) to approximate the instantaneous rate of change of f(x) at x = 2. Explain why your answer is reasonable. Given the function f(x)=√3-a (a) Determine the average rate of change of f(x) from r = -1 to x = 2. (b) Determine the average rate of change of f(x) from x = a -0.001 to x = a (where a ≤ 3). (c) Use your result from (b) to find the average rate of change of f(r) from x = 1.999 to r = 2. Round your answer to 4 decimal places. (d) Use your result from (c) to approximate the instantaneous rate of change of f(x) at x = 2. Explain why your answer is reasonable.