Question

Determine the first five iterates of f(x) = 1.5x(1 _ x) for x0 = 0.8. (1 point)

a. 0.245, 0.25, 0.255, 0.26, 0.265
b. 0.243, 0.246, 0.249, 0.252
c. 1.24, 2.24, 3.24, 4.24, 5.24
d. 0.24, 0.274, 0.298, 0.314, 0.323

Answer 1

f(x) = 1.5 x (1 - x)
f(0.8) = 1.5(0.8)(1 - 0.8) = 0.24
f(0.24) = 1.5(0.24)(1 - 0.24) ~= 0.274
f(0.274) = 1.5(0.274)(1 - 0.274) ~= 0.298
f(0.298) = 1.5(0.298)(1 - 0.298) ~= 0.314
f(0.314) = 1.5(0.314)(1 - 0.314) ~= 0.323

So the answer is D : 0.24, 0.274, 0.298, 0.314, 0.323