Question: Suppose P 2 (x) = a + bx + cx 2 is the second degree Taylor polynomial for the function f about x ? 0.

Suppose P ₂(x) = a + bx + cx ² is the second degree Taylor polynomial for the function f about x ? 0. What can you say about the signs of a, b, c, if f has the graph given below?

f(x) x a < 0 a = 0 a > 0 b

f(x) x a < 0 a = 0 a > 0 b < 0 b = 0 b> 0 c < 0 c = 0 c> 0

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