How do you write f(x)= |7/6x+4/3|f(x)=∣∣∣76x+43∣∣∣ as piecewise functions?

1 Answer
Binayaka C.
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]

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