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2. Let f be a function from R to R. Which of the following statements is true? (All statements concern functions from R to R!)

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2. Let f be a function from R to R. Which of the following statements is true? (All statements concern functions from R to R!) (a) If f (r)2 is differentiable then f (r) is differentiable (b) If f (r) is continuous then f(r) is continuous. (c) If f(r) is continuous then f(z) is differentiable. (d) If f(r) is differentiable then f(r) is continuous . (e) If f(12) is differentiable then f(r) is differentiable. (f) None of the other statements is true

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