# Math Help - function fo bounded variation!

1. ## function fo bounded variation!

find $P_{f}= [-1,2], N_{f}= [-1, 2]$ and $T_{f}= [-1,2]$ if given that $f(x)= |x|+1$ for $-1\leq x \leq 2$

given that $f(x)=|x|+1$ for $-1\leq x \leq 2$
we have

f(-1) = 2
f(2) = 3

so

$P_{f}[-1,2]= \sum_{j=1}^{2}[3-2]^{+}$
$= [1]^{+}$