For each piecewise linear function, graph the function and find:

For each piecewise linear function, graph the function and find:

lim  f(x)              lim f(x)                 lim f(x)

x->3-                  x->3+                     x->3

(a) f(x) = |x-3| + 1            (b) f(x) = -|x| + 2

Solution a): f x x 3 1 Graph: limx 3 f x limx 3 x 3 1 limh 0 3 h 3 1 limh 0 h 1 (i ) 1. (ii ) f x limx 3 limx 3 x 3 1 limh 0 3 h 3 1 limh 0 h 1 1. (iii ) limx 3 f x limx 3 1x 3| 3 3 | 1...