Let f(x) be given by the function f(x) = a = 0. (ax - b if...

Transcribed Image Text:

Let f(x) be given by the function f(x) = a = 0. (ax - b if x 2 15-2ax - (2- x) if x < 2 a. Write an expression for b if f is continuous at x = 2. b. If fis continuous at x = 2, explain why b cannot equal -10. where a and b are constants and c. If f is differentiable at x = 2, find the values of a and b. Show your analysis. d. Using the values of a and b found in part c, determine values of x that will make f'(x) differentiable. Show your analysis. Let f(x) be given by the function f(x) = a = 0. (ax - b if x 2 15-2ax - (2- x) if x < 2 a. Write an expression for b if f is continuous at x = 2. b. If fis continuous at x = 2, explain why b cannot equal -10. where a and b are constants and c. If f is differentiable at x = 2, find the values of a and b. Show your analysis. d. Using the values of a and b found in part c, determine values of x that will make f'(x) differentiable. Show your analysis.