Question

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

Answer 1

`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]