Question: 1. Suppose that f is a function whose domain is R and satisfies the following properties: . f(x) = -1 when x > 2 .

1. Suppose that f is a function whose domain is R and satisfies the following properties: . f(x) = -1 when x > 2 . f (0) = 1. y 2 (i) Define the function f on the interval [-2, 2] such that f is everywhere continuous. (ii) Suppose that f must have the form of a quartic polynomial on [-2, 2]; that is, f(x) = c424 + C323 + c2x2 + cix + co. Find the values of co, ..., c4 such that f is everywhere differentiable. Note: You may choose to give your answers to 5 decimal places instead of writing them as fractions

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