Question: (a) Suppose that f is differentiable on R and has two roots. Show that has at least one root. (b) Suppose f is twice differentiable

(a) Suppose that f is differentiable on R and has two roots. Show that has at least one root.
(b) Suppose f is twice differentiable on R and has three roots. Show that has at least one real root.
(c) Can you generalize parts (a) and (b)?

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