1. Let rs) : $2 . (a) What is the average rate of change of f from :1: : D to :1: : 1? (b) What is the average rate of change of 3" from a: = l to :1: = 4? 2. Let f(:r) : 2z+1 and g(:1:) : 1:2. (a) Determine (JCOQX'Q) (h) Determine (g o f)(2)- (c) Determine (fOQMI) (d) Determine (g 0 DU\") 3. Determine if the given function is one-to-enc. If the function is not one-toone, then give the largest possible domain on which the function is one-to-one (note that answers may vary). (a) y = 3x+l (b) y = (a: 2V (C) 1!}: incl ((1) (Bonus!) :1; = sin(:i:) 4. Which of the following is the inverse of f(x) = ? I - A. f '(x) = B. f '(x) = 1-x C. f (x) = - 1 1 D. f '(x)= 1 5. Give an example of a polynomial f(x) which satisfies the following criteria. (a) As x + too, f(x) -+ +oo and as r - -co, f(x) - too (b) As x + too, f(x) + too and as r - -oo, f(x) - -00 (c) As x -+ too, f(x) -+ -co and as r - -co, f(x) - too (d) As x + too, f(x) + -co and as x - -co, f(x) - -00