Question: Hi please help me with this questionPlease be specific in the solution. Thank you 1. Suppose that f is a function whose domain is R

Hi please help me with this questionPlease be specific in the solution. Thank you

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) = cax* + c323 + cars + cir + 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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