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FUNCTIONS 1. Which of the following best illustrates a function? a. {(a, 1), (b,2), (c,3). (d,0), (e, 1)} C. { (-1,-8), (0,-4).(-1.0). (1,4).(-2.8)) b. { (2,-10), (0,-2),(2,6),(4, 10)} d. { (-1,-3), (0,-4). (-1,0). (0,4)) 2. The following equations are defined as functions, except: a. y = 4x - x + 5x -1 b.y = Jx C. X + X = 1 d. ((x) = 5x - - 3. A piecewise function is a function defined by two or more formulas on different parts of its domain. The following are examples of a piecewise function, except: a. f(x) = (-2x, x>0 x'. x20 c. f(x) = 2x+1, x4 C. F(d) = 8 18+1.5d 18 d>4 b. F(d) = 03 1(5) a. 2, 200 b. 1, 800 c. 1, 400 d. 1 000 11. f(2) a. 1 000 b. 800 c. 600 d. 400For items # 11-14: Perform the indicated operation. Solve if necessary. Given the functions, f(x) = 8x -4 and g(x) = 2x - 1, find the following: 12. ( f+ g ) ( x ) a. 5(2x - 1) b. 2x - 10 C. 2x - 1 d. 10x - 2 13. (g - f) (x) a. 6x - 3 b. 3x - 6 C. -3(2x - 1) d. 3(2x + 1) 14. ( f-g ) (x) a. x + 16x + 4 b. 4x2 + 16x + 4 C. 4x - 4x + 1 d. 4x' + 4 15. a. 2x- 1 8x-4 *2x- 1 c. -x d. 16. Given f(x) = 2x' + 3 and g(x) = 3x - 2, what is f(g(2))? a. 35 b. 32 C. 4 d. -4 17. Find (fog) (x) given that f(x) = 2x and g(x) = a. 4x b. 2x C. X d. 18. Given f(x) = 2x - 4 and g(x) = x - 2, what is (gof) (x)? a. x - 12 b. 2(x + 3) C. 2(x - 3) d. x + 12 19. The area of a rectangular garden is 150 m. The length is five less than twice the width. What is the length of the garden? a. 5 b. 8 C. 10 d. 15 20. The sum of a number and twice the square of the number is 3. What are the numbers? a. .3 b. d. 0 RATIONAL FUNCTIONS, EQUATIONS AND INEQUALITIES q(x) 21. It is a function of the form f(x) = PIC where p (x) and q(x) are polynomial functions, and q(x) # 0. a. Linear function b. quadratic function c. rational function d. inverse function 22. Which of the following does not belong to the group? a. y = x+1 b. Jx-2 = 4 C. X-2 x2 d. x - _ 0? x-5 a. x = -2 b. x = 0 C. X = NI- d. x = 4 29. What is the solution of the rational inequality 2x4 1 x-3