Due August 25, 1lam problem 6. On the graph below, sketch on a example of a function y = f(x) that satisfies the following conditions: f (2 ) = 1 f' (2 ) = 0 lim f(x) =4 -+ 0+ interval, if any, is the lim f(x) =DNE lim f(x) =-00 2-40 - lution? f (-3) = 0 lim f(x) = 2 y f' ( -3 ) = -1 3 but .& moldorg IVP ex- Problem 7. Consider the graph of y = g(x) below. y (a) On what intervals is g(x) continuous? (b) At what values of x is g(x) continuous but not differentiable? (c) Evaluate lim 29(x) + 4 I + - 3 (d) Evaluate lim (9(x) + 2) x - 3 (e) Evaluate lim , 1-+2 2 - 9(2) Problem 8. For which values of c is the following function continuous on (-co, co)? f ( I ) = 1 cx + 5 I