Consider the function f(x) given by f(x) = { 2x6 x < 1, 3x²7x21. Which of the following statements is true? O a. f is differentiable but not continuous at x = 1 O b. f is continuous but not differentiable at x = 1 O c. f is both continuous and differentiable at x = 1 O d. I don't know

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