# How do you write f(x)= |7/6x+4/3| as piecewise functions?

May 20, 2017

 f(x) = | 7/6x +4/3| } f(x) = (7/6x +4/3) if x >= -8/7  or
 f(x) = | 7/6x +4/3| } f(x) = -(7/6x +4/3) if x < -8/7

#### Explanation:

 f(x) = | 7/6x +4/3| ; 7/6x +4/3 = 0 or 7/6 x= -4/3 or x = -4/3*6/7 =-8/7

 f(x) = | 7/6x +4/3| may be written as piecewise function as follows.

 f(x) = | 7/6x +4/3| } f(x) = (7/6x +4/3) if x >= -8/7  or
 f(x) = | 7/6x +4/3| } f(x) = -(7/6x +4/3) if x < -8/7 # graph{abs(7/6x+4/3) [-10, 10, -5, 5]} [Ans]