Multiple choice sample problems Math 155 sections 2.1-35 Evaluate A(2) where h= g'f and f(x) = x+1 and g(x) = 2(x' -1) (section 2.1) a 3 and 6 1. Find the domain of the function f(x) = 4(x-1)-12 d. (1,20) section 2.3 7. A manufacturer has a monthly fixed cost of $20,000 and a production cost of $10 for each 2. Find the domain of the function / (x)= prodproduced The product sells for $15/unit. Let x represent the number of units a (-1,2)(2,20) (--2)U(-2-1)U(-1.2)0(2,0) c. C(x) = 15x +20,000 listed here. d. C(x)= 5x-20,000 . Find the domain of the function g(x) = f -2x-3 2-X-6 John creates hand-carved wood laptop stands. His monthly costs include a fixed cost of (-60,3)(3,00) materials for each stand he makes. He sells the stan c. (-40,-2)U(-2,0) number of stands John makes each month. How many stands does John have to sell each d. (- - 2) U(-2,3) U (3, 0 ) section 2.2] b. 40 4. Let f(x) = 2x -3x and g(x) =4x' -x+1. Find the rule for f -g a -2x -2x-1 b. 2r +2r+1 monthly cost for jet pack production is $120,000, and it costs an additional $1000 to d -2x - 4x-1 produce each jet pack. The jet packs sell for $2000. Let or represent the m P(x) = 1000x-120,090 5. Let f(x) = 2x -x. Find f(x+h)-f(x) - a. 4xh+ 21 -2x+h P(X) = 2000x 1. P(x) = 2000x -1000x +120,000 d. With - 2x (section 2.4) 24x' +13x* -1,020 " &' -450r +30x' +10,450 11. Find Him (741 3-3) 15. Find the one-sided limit lim - b . . is not listed here. section 2.6) 16. Find the slope of the seca between x = -1 and x =2 if f(x) =x' +2x 2. Find lim / (x) if /(x)= b. 6 a ling f(x) =0 C. 7 b. lim f(x) =4 c. lim f(x) = 6 d. ling f(x) DNE 17. Let g(x) =-x' +3x-2 . Find the rate of change of g when x = 2. b. 11 (section 2.5) . The positions of Car A and Car B, starting out side by side and traveling along a straight 2x+4 ifx