Compare and contrast the following piecewise

defined functions.

(-x + 2 x<0

X+2, x<0

f (x) =

x? + 1, x>0 X + 2, x>0

g (x) =

Both piecewise functions have a linear portion and a quadratic portion. The y-intercepts of both linear pieces are the same, 2. The quadratics are both open upward, but have different y-intercepts (one at 1, one at 2). The linear portion of the first function is decreasing, while the linear portion of the second function is increasing.