(a) Compute the first three iterates of x0 = 1. (b) Refer to the follow...

(a) Compute the first three iterates of x₀ = 1.

(b) Refer to the following figure. Explain why the y-coordinates of the points A, B, and C are the iterates that you computed in part (a).

(c) Determine the y-coordinate of the point where the lines y = x and intersect. If we continue the pattern of dashed lines in the figure, it appears that the iterates approach 4. Verify this empirically by using your calculator to compute the fourth through tenth iterates. (round your final answers to three decimal places.)