How do you write #H(x) = 2/3|x-5|# as a piecewise function?
If x is less than 5, the number within the absolute value will be negative. Thus, if we wish to rid ourselves of the absolute value symbol, which as one recalls changes any negative expression within it positive, we must find a way to make
This is most easily accomplished by multiplying the expression by -1 when
Thus, we are left with