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What is the average rate of change of f(x) = esin * over the interval O e-1 TT O 1- e TT O 2(e - 1) TT O 2(1 - e) TTUse this graph of function f. -54 O N WA 5 -4-3-2-1 X 2 W - 4 on+ - W N - Which table identifies the one-sided and two-sided limits of function fat x = 2?lim_ f(x) x-2 lim f(x) 4 O x-+2* lim f(x) x-2 lim_ f(x) 4 x-2 O lim f(x) X-2 lim f(x) x-2lim_ f(x) 4 X-2 lim f(x) O x-2 lim f(x) x-2 nonexistent lim_ f(x) nonexistent x-2 lim f(x) O nonexistent x-2 lim f(x) nonexistent x-2Use the four functions to answer the questio 1. f(x) = 1 - x2 x - 1 11. f( X) =. x2 - x3 X- - 1 x+1 III. f(X) = x #1 x2 - 1 1, x=1 x2 - 3x+2 IV. f( X ) = -, x#1 x- 1 - 1, X=1 For which function does lim f(x) not exist? x - 1How many An object travels along the x-axis such that its position at time t is given by the function x(1) = - 1+ 1 times greater is the instantaneous speed of the object at t = 7 than the average speed of the object over the interval 1sts7? O 24 O 4 O 4 O 24Let f be a function defined as f(x) = 2* + logzx over the interval [1, 2]. What conclusion can be made about the value of k such that f(K) = 4? O The value of k must be 18. O The value of k must be between 1 and 2. O No conclusion can be made about k because 1