# How do you write #H(x) = 2/3|x-5|# as a piecewise function?

##### 1 Answer

Aug 25, 2017

#### Explanation:

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