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(1) 1/4 < 1/2
f(a) = f(0.25) = (1/4) - (1/4)^2 = 3/16 = 0.1875
f(b) = f(0.5) = 0.5 - (0.5^2) = 0.25, f(a) < f(b)
f(a) = f(-1) = -1 - 1 = -2
f(b) = f(2) = 2 - 2^2 = -2, f(a) = f(b)
f(a) = f(1) = 1 - 1 = 0
f(b) = f(2) = 2 - 2^2 = -2, f(a) > f(b)
(2) a^2 > b^2, (0.5^2) > (0.25^2), 0.25 > 0.0625
f(a) = f(0.5) = 0.5 - (0.5^2) = 0.25
f(b) = f(0.25) = (0.25) - (0.25)^2 = 3/16 = 0.1875, f(a) > f(b)
a^2 > b^2, (1^2) > (0^2), 1 > 0
f(a) = f(1) = 0
f(b) = f(0) = 0, f(a) = f(b)
a^2 > b^2, (-1)^2 > 0^2, 1 > 0
f(a) = f(-1) = -1 - 1 = -2
f(b) = f(0) = 0, f(a) < f(b)
(1) + (2) a < b, a^2 > b^2
a = -1, b = 0, (-1)^2 > (0^2), 1 > 0
f(a) = f(-1) = -1 - 1 = -2
f(b) = f(0) = 0, f(a) < f(b)
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