Answer:
The function [tex]f(x) = |x+3|[/tex] can be rewritten in the following form:
[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]
Step-by-step explanation:
According to the definition of absolute value, we know that:
[tex]f(a) = \left\{\,\begin{array}{ccc}a\,\,\,a\ge 0\\-a\,\,\,a < 0\end{array}[/tex]
According to this, we can define [tex]f(x) = |x+3|[/tex] in the following form:
[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]
