Respuesta :
Answer:
On a coordinate plane, a piecewise function has 2 lines. The first line goes up from (negative 2, negative 5) to a closed circle at (0, -1). The second line has a closed circle at (0, 1) and goes down through (2, -3).
Step-by-step explanation:
Let's visualize this piecewise function, or function by parts.
[tex]f(x)=\left\{\begin{matrix}2x-1,&x<0\\0,&x=0\\-2x+1&x>0 \end{matrix}\right.\\[/tex]
Piecewise function is a function where each piece of function describes a behavior, i.e. returning another value depending on the input value.
Piecewise functions are pretty useful when we study limits.
According to the description given, the 3rd. option matches the graph. The second behavior (0,0) we'll describe it as a point.
