The function $f : [0, 1] → R$ given by $f(x)=\alpha x^3$ has

maximum value $\frac{1}{8}$ when $\alpha=1$ minimum value $-\frac{1}{8}$ when $\alpha=-1$ minimum value -1 when $\alpha=-1$ maximum value 1 when $\alpha=-1$

minimum value -1 when $\alpha=-1$

The correct answer is Option (3) - minimum value -1 when $\alpha=-1$