For the function given by f(z) = 2.5z³ - 2.625, on the closed interval [-0.5, 1.2), determine the absolute minimum output value and the absolute maximum output value of f. Label your answers appropriately.
a) Absolute minimum = -2.625, Absolute maximum = 4.5
b) Absolute minimum = -4.5, Absolute maximum = 2.625
c) Absolute minimum = 2.625, Absolute maximum = -4.5
d) Absolute minimum = 4.5, Absolute maximum = -2.625