1. The position, in leet, of an object moving along a line is given by 50') = r2 6:. where I represents time in seconds. Find the average velocity of the object over each of the following intervals. Give exact answers [i.e. do not round). time average velocity Interval [4, 4.5] 2. Letf(x) = . Evaluate each of the following limits. 3+2x 2. Let f(x) = 5x - 15 Evaluate each of the following limits. (a) lim f(x) = x-1 (b) lim f(x) = x-3+ (c) lim f(x) = *'-00 x- +7 3. Let g (x) = Evaluate each of the following limits. x - 4 (a) lim g(x) = x-4 (b) lim g(x) = X-00Evaluate each of the following limits. x- + 5x +4 (a) lim X-1 x+1 (b) lim tan 0 = x- - 4a2 (c) lim x-2a x -2a 5 Let g(x) = 2x3 - 7x + 3. Evaluate each of the following limits. (a) lim g(x) = x-2 (b) lim g(x) = 1-00 4 (c) lim x-+co g(x)x + 18 if x 4 (a) For what value of b is the function f continuous at x = 0? Justify your answer. (b) Given your answer above, what value of a makes f continuous at x = 4? Justify your answer. 7. Sketch an example of a function that is defined for 2