41. [-/0.2 Points] DETAILS SCALC9 1.5.005. For the function f whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) -4 0 2 4 (a) lim f(x) x- 1 (b) lim f(x) X - 3 (c) lim f(x) x - 3+ (d) lim f(x) X - 3 (e) f(3)42. [-/0.2 Points] DETAILS SCALC9 1.5.007. For the function g whose graph is shown, find a number a that satisfies the given description. 0 2 4 6 x - a (a) lim g(x) does not exist but g(a) is defined. a = (b) x - a lim g(x) exists but g(a) is not defined. a = (c) lim g(x) and lim g(x) both exist but lim g(x) does not exist. x - a x- a x - a smaller value a = larger value (d) lim g(x) = g(a) but lim g(x) # g(a). x-at x - a a =43. [-/0.2 Points] DETAILS SCALC9 1.5.017. Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x) = 0, lim f(x) = 1, lim f(x) = 3, f(-1) = 4, f(2) = 1 X--17 x -> - 17 X - 235. [0/0.2 Points] DETAILS PREVIOUS ANSWERS SCALC9 1.4.005. MY NOTES | ASK YOUR TEACHER The deck of a bridge is suspended 215 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surfa 2 y = 215  16t . (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 3 and lasting the following amount of time. (i) 0.1 seconds 97.6 x ft/s (ii) 0.05 seconds 96.8 x ft/s (iii) 0.01 seconds 96.16 x ft/s (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 3 seconds. 96 x ft/s

41. [-0.2 Points] DETAILS SCALC9 1.5.005. For the function f whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) (a) lim f(x) X 1 (b) lim f(x) x-3- (c) lim f(x) (d) lim f(x) X 3 (e) f(3) 4. 2. 0 2 4 X