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5:28 PM Sat Sep 30 79% X Math 30 v K Q U . . . 2 @ T abc ~NNN Vista Virtual School Math 30-1 Assignment 1.3 Sept 2022 Vista Virtual School Math 30-1 Assignment 1.3 This assignment is out of 12 marks. To earn full marks for each question, a detailed algebraic solution and/or explanation is required. Review the "Directing Words" chart found in the course introduction. Complete all questions before submitting this assignment for grading. Please contact your teacher if you have any questions. 1. Consider the following function, f (x) = 2x + 3x -2 x - x - 6 a. Factor, reduce and state any restrictions for x. Show all algebra steps. (2 marks) . 2 ( 2 x- 17 (xx2) X - 3: 0 x + 2 = 0 ( x - 3 ) (x + 2 ) * + 3 * * -2 2 x - 1 X - 3 Non - permissible value = 3 , - 2 3 + 2 2 x 2 + 4x - 1x - 2 2 x ( x+ 2 ) - 1 (x +2 ) ( 2x - 1) (x + 2 ) b. Algebraically determine the y-value for the point of discontinuity. (1 mark) 32 of 365:28 PM Sat Sep 30 Q .m. Vista Virtual School Math 301 Assignment 1.3 Sept 2022 c. Complete the tables below. Describe the behavior of the function as x approaches positive and negative infinity and state the equation for the horizontal asymptote by filling in the blanks below. (2 marks) x 10 100 1000 10 000 100 000 11X) x -10 -100 -1000 -10 000 -100 000 for) As I approached +00, f(x)approaches from . (above or below) As I approached foo, f(x)approaches from .(above or below) The horizontal asymptote is d. Sketch a graph. Show and label asymptotes and the point of discontinuity. (1 mark) 10 SIG 5:28 PM Sat Sep 30 79% X Math 30 v K Q . . . T abc ~ ~ ~ Vista Virtual School Math 30-1 Assignment 1.3 Sept 2022 2. a. Given the equation- x-32 5-x_2x+3 x2 - 8x x -8 -. Determine the solution algebraically and X identify any non-permissible values. (3 marks) x - 8=0 x - 8=0 x - 32 5 -X 2 x + 3 * = 8 * = 8 x ( x - 8) x - 8 X NPV = 8 Q X - 32 4 ) 5 -X =42x+3 * ( x - 8 ) x - 8 X x - 32 5 x - X 2 ( x - 8 ) = 2 x + 3 X - 8 w 34 of 365:28 PM Sat Sep 30 Q .m. Vista Virtual School Math 30-1 Assignment 1.3 Sept 2022 , x' 3x + 5 Given the equation 4 = 3x + 2 , use technology to determine the solution x + graphically (round to the nearest hundredth). Explain your steps and include a sketch. (2 marks) c. Show an algebraic verication for one of the solutions from part b. (1 mark)