Question
Show that f(x) = x – cos x is increasing for all x.
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| X | 0 | 1 | 2 | 3 |
| P(X=x) | $\frac{1}{6}$ | $\frac{1}{3}$ | $\frac{1}{3}$ | $\frac{1}{6}$ |
$f(x)=x^2$, if $0 \leq x \leq 2$
= 6 – x, if 2 < x ≤ 6.