Draw the graph of f (x) = x⁴ - 2x², [-2, 2] by [-2, 2]. The function has zeros at x = -√2, x = 0, and x = √2. By looking at the graph, guess which zero will be approached when you apply the Newton–Raphson algorithm to each of the following initial approximations:

(a) x₀ = 1.1 

(b) x₀ = .95 

(c) x₀ = .9

Then, test your guesses by actually carrying out the computations.