(6- x if x < 5 1. (9 points) For the piece-wise defined function, f(x) = {2x – 11 if x 2 5 na. a) lim f(x) x→5_ bns I+ -2cva-= (x) noitonul ert lo gvitevheb tenil orth bnia (an evitsviteb tevl erti to niemob er b) lim f (x) x→5+ c) limf (x) x-5

4. A function is defined to be. (b) If we chose c as in part (a), is g continnons at z 17 Explain why or why not. ア+c if r>1 9(1) = 1. if 7= 1 2r-3 if I<1 (a) Choose the constant c so that lim g(r) エー1 exists.

>= {x₁ 1) Consider the piecewise function g(x) = (x-2)(x-1), 3-x, a) lim g(x) x→0+ 1, Use the definition for g to evaluate the following. Show work where appropriate. c) g(0) if x ≤ 0 if 0 2 b) lim g(x) x-0-