The equations x + y = 3 and y = = * -3 are represented in the graph. x - 3 IN W/2 -10 -9 8 7 6 -5 4 -3 -2 -10 1 2 3 X 4 5 6 7 8 9 1 Determine the solution(s) to the system of equations. C (-1, -2) and (4, -1) C (-1, -2) and (-4, -1) C (1, 2) and (4, -1) C (1, 2) and (-4, -1)Question 2(Multiple Choice Worth 3 points) (02.01 LC) Ty f (x) 10 g(x) - NW X -10 -9 -8 -7 -6 -5 -4 -3 -2 2 3 4 5 6 7 8 9 10 The graphs of f(x) = 20 1x3 and g(x) = -log2(x + 3) have which of the following features in common? x-Intercept Range CEnd behavior Vertical asymptoteQuestion 3(Multiple Choice Worth 3 points) (02.04 MC) Determine the domain of (q . f)(x) if f(x) =x2 + x 3 and 90') =;_ x+1 'C{XeRIx1} 'C{xeRlx2,1} ' C{xeR|x2,'l,1} 'Cvem Question 4(Multiple Choice Worth 3 points) (02.03 MC) The Scooter Company manufactures and sells electric scooters. Each scooter cost $150 to produce, and the company has a fixed cost of $1 determined by the function R(x) = 400x 2x2, where x represents each electric scooter sold. Which of the following functions represents the Question 5(Multiple Choice Worth 3 points) X -5 4 f (x) 21 17 -1 - / -9 -27 9(x) -10 -8 -2 14 C-7 C-5 C-2 01 Question 8(Multiple Choice Worth 3 points) (02.03 MC) Given various values of the linear functions f (x) and g(x) in the table, determine the y-intercept of (f - g)(x). X -6 -4 -1 3 4 f (x) 15 11 5 -3 -5 g(x) -36 -26 -11 9 14 (0, 9) C (0, 3) C (0, -3)Question 9(Multiple Choice Worth 3 points) (02.02 MC) How many solutions does the system of equations x - y = -4 and y = v2x +3 -2 have? Infinitely many Co 01 C2 Question 10(Multiple Choice Worth 3 points) (02.03 MC) The volume of a rectangular prism box can be represented by the function V(x) = 2x3 - 5x2 - 3x. If the height of the box is x cm, which of the C 2x + 1 and x + 3 C 2x + 1 and x - 3 C 2x - 1 and x + 3 C 2x - 1 and x - 3 Question 11 (Essay Worth 10 points)Question 11 (Essay Worth 10 points) (02.02 HC) A railroad's track can be determined using the following graph. 10 ouao 10-O7-6-54-8210 12345678910 Several different roadways are in the same region as the railroad. Part A: A highway's path can be found using the equation 2x 8y = 21. Use the graphs of the functions to determine the number of intersections there will be between the railroad and the highway, and explain completely. (5 points) Part B: A turnpike's route is determined by the equation y = gx? Prove algebraically how many intersections there will be between the railroad and the turnpike, showing all necessary work. (5 points) Question 12 (Essay Worth 10 points) (02.03, 02.04 HC) An ice cube is freezing in such a way that the side length 5, in inches, is 5(2): 344. where t is in hours. The surface area of the ice cube is the function A(s) = 632. Part A: Write an equation that gives the volume at t hours after freezing begins. (2 points) Part B: Find the surface area as a function of time, using composition, and determine its range. (4 points) Part 0: After how many hours will the surface area equal 294 square inches? Show all necessary calculations. (4 points) (X; PD [-EI' [ [-E'l \" *I- '3? FISH-E QIQZIIQSourceIV' c B I u 5x.x=lL|.':: E I Styles v I Format v