A. 7. What are the domain and range of the reciprocal function - -2x + 4? domain : x E R, x * -2 C. domain: x E R, x * 2 range y E R, y # 2 range y E R, y = 0 B. domain: x E R, x # 0 D. domain: x E R, x * -4 range y E R, y * -2 range y E R, y # 0 A 8. Without graphing, determine the number of vertical asymptotes of the graph of y =. Write the equation of each asymptote. (x+4) (x+ 5) A. 2 vertical asymptotes; x = -4 and x =-5 C. B. 2 vertical asymptotes; x = -4 and x = 5 2 vertical asymptotes; x = 4 and x = 5 D. no vertical asymptotes 9. This is a graph of y = - f(x ) . Determine an equation of the quadratic function y = f(x). 9 4 NO N sysd a f A. y =x2 -16 C. y = (x-3)2-16 B. y = (x -3)2 10 =4 5 D. y = (x - 3)2 + 16 D 10. For which values of the variable, x, is this radical defined? 61x7 C. x20 A. XER B. x50 an is maidsto to drum bill D. the radical is never defined Il. Simplify by adding or subtracting like terms: ~ 3125w + IN 125w, w C. 37~5W D. 0 A. 27 5w B. 23~5w12. Simplify this expression: . - 307 + 61/3 12 - 7 A. 317 + 18-42 -42~3 47 B. 3- 14-6-6+21-7-42-3 -5 C. 3~ 14-6 6 +21 -7-42-3 47 D. 307 + 18~42 -42-3 -5 13. Determine the non-permissible values for this rational expression: -9x + 3 6x2 + 10x - 4 A. x= -~ and x =2 C. x =-2 B. x = - and x =-2 D. x =2 14. Simplify. x + 3 x - 3 x - 3 x+ 3 2(x2 + 9) (x - 3) (x+3) ,* * 3, x*-3 C. x2 + 18 A. (x -3) (x+3) , *#3, x*-3 B. (x - 3) (x +3) , * * 3, x*-3 D. x+9, x # 3, x#-3 Short Answer 1. Solve algebracally, Show your work s+5 1 _ $2 +5 s-6 s+6 $2 - 36 WProblem 1. Write an equation for the absolute value function. Show your work 2. This is the graph of a quadratic function y = f(x). Sketch a graph of the reciprocal function y = and identify the vertical asymptotes, if they exist. Show your work if ( x ) y -8 6 2 of 8 x 4. Solve algebracally, Show your work V6x - 9 = ~7+2x 5. Write this expression in simplest form: 417 512 18 28, show your workMath 20-1 Unit 3 Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which statement about the absolute value function y = |x - 2| is NOT true? A. Its graph is the same as the graph of y = -(x -2) when x $ 2. B. Its graph is the same as the graph of y = x - 2 when x 2 2. C. Its graph is the same as the graph of y = -x + 2 when x 5 2. D. Its graph is the same as the graph of y = x - 2 when x $ 2. 2. Which absolute value function has these characteristics? The graph of the absolute value function has x-intercept -3 and y-intercept 15. The domain of the function is x e R and the range is y 2 0. A. y = 1-5x2 - 151 C. y = |-15x -51 B. . y = |-15x2 - 151 D. y = 1-5x - 15| 3. Which equation below has the solutions x = 3 and x = -4? i) 4= 1x+2 ii) 14 = /x + 21 iii) 4 = |14x + 2 iv) 14 = 14x + 21 A. ii B. iii C. iv D. i 4. How many solutions does the equation y = |2x2 - 6) have when y = 7? A. 4 B. 2 C. 3 D. 1 B 5. For the function y = , write the equation of its reciprocal function. A. y =- C. y = 6x - 6x B. y= 1 D. y = -6x 6x 6. What is the equation of the vertical asymptote of the graph of the reciprocal function y = -2x -? C. y = -4 A. y = -8 D. x =-8 B. x = -4