Question: a. Construct a polynomial (x) that has zeros at x = -2, -1, 0, 1, and 2. b. Graph and its derivative together.

a. Construct a polynomial ƒ(x) that has zeros at x = -2, -1, 0, 1, and 2.

b. Graph ƒ and its derivative ƒ′ together. How is what you see related to Rolle’s Theorem?

c. Do g(x) = sin x and its derivative g′ illustrate the same phenomenon as ƒ and ƒ′?

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a A polynomial that has zeros at x 2 1 0 1 and 2 can be constructed as follows x x 2x 1xx 1x 2 b The ... View full answer

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