The function f is defined as f(x) = x 2 2x + 2, x. a. Write

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The function f is defined as f(x) = x2 − 2x + 2, x ∈ ℝ.

a. Write f(x) in the form (x + p)2 + q, where p and q are constants to be found.

b. Hence, or otherwise, explain why f(x) > 0 for all values of x, and find the minimum value of f(x).

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