Question 900999
piecewise linear means that we have more than one straight line piece to consider, actually we have two given the three points,
y = 2 if -3 < or = x < or = -1
the second piece is a line that we determine from the two points (-1,2) and (1,0)
slope = (0 -2) / (1 - (-1) = -2/2 = -1
let's use (1,0) to determine our y intercept b,
0 = -(1) + b
b = 1 and equation is
y = -x +1 we then write f(x) in two pieces
f(x) = 2 if -3 < or = x < or = -1
f(x) = -x +1 if -1 < x < or = 1