If , which of the following statements are…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

If f(x)=min⁡{1,x2,x3}f(x) = \min\{1, x^2, x^3\}, which of the following statements are true? (1) f(x)f(x) is continuous everywhere (2) f(x)f(x) is continuous and differentiable everywhere (3) f(x)f(x) is not differentiable at two points (4) f(x)f(x) is not differentiable at one point

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