Respuesta :

Answer:

Step-by-step explanation:

1) Plot a dark (filled in) dot at -2.

Draw a horizontal line , represented by a dark horizontal line through y = 1, starting from the extreme left of y = 1, stopping at x = -2.  This takes care of the first third of the graph.

2)  Graph x on the interval  -2 < x < 2 as follows:  Draw a very light line with slope +1 through the origin.  Next, draw a circle at both (-2, -2) and (2, 2).  Do not fill in these circles.  Now darken the line connecting (-2, -2) and (2, 2).

3)  Graph the last part of this piecewise defined function as follows:

Plot a dark dot at (2, 2).  Starting at this dark dot, draw a dark horizontal line to the right as far as the edge of graph.  This takes care of f(x) = x for x ≥ 2.