MATH 124 Week 3 Review and Challenge Problems 1. SHORT ANSWER (1) Find all asymptotes of the following functions: (a) f(x) = 6-344 12 -2r-8 (b) g(x) = 5(1 -e-r) (c) h(x) = 4+ cos (#) (2) The graph y = f(x) is given below. Using this graph, sketch y = f'(x) 4 3 2 A Pay special attention to where f'(x) = 0 and where f'(x) does not exist. (3) Use the limit definition of the derivative to find the derivative of y = r- - 3.r (4) Calculate lim,-+0 Va2 - 2x +1-r (5) Find a value of a such that f (x) is continuous everywhere f(x) = 3x3 +1 x