1. For which line(s) is the graph of symmetric? A. x = 3 B. x = 3 and y = -1 C. y = -1 D. y = 1 Hint 2. Sketch the graph of the function f(x) = |x2 - 6|. A. B. C. D. Hint 3. Describe the end behavior of f(x) = x2 + 1. A. none of these B. As x ,f(x) , and as x , f(x) . C. As x , f(x) ,and as x , f(x) . D. As x , f(x) ,and as x , f(x) . Hint 4. Determine the interval(s) on which the function f(x) = 2|x + 1| + 3 is increasing and the interval(s) on which the function is decreasing. A. The function is decreasing for x > 0, and the function is increasing for x < 0. B. The function is increasing for x > 3, and the function is decreasing for x < 3. C. The function is increasing for x > 2, and the function is decreasing for x < 2. D. The function is increasing for x > -1, and the function is decreasing for x < -1. Hint 5. Use the parent graph f(x) = to graph the functiong(x) = ; identify the new location of each asymptote. A. The vertical asymptote is at x = 3 and the horizontal asymptote is at y = 1. B. The vertical asymptote is at x = 0, and the horizontal asymptote is at y = -3. C. none of these D. The vertical asymptote is at x = -3, and the horizontal asymptote is at y = 0. Hint 6. Which is an odd function? A. B. C. D. Hint 7. If you use y = x3 as a reference graph, describe how you would graph y = (x + 3)3 - 4. A. Move 3 units down, then move 4 units to the right. B. Move 3 units to the right, then 4 units down. C. Move 3 units to the left, then 4 units down. D. Move 3 units up, then move 4 units to the left. Hint 8. Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. A. (0,0) B. (3,7) C. (1,5) D. (0,7) Hint 9. Which is the graph of y > (x - 3)2? A. B. C. D. Hint 10. Given the function f(x) = x2 - 8x + 16, is the inverse a function? How do you know? A. No, fails the vertical line test. B. Yes, fails the horizontal line test. C. Yes, passes the vertical line test. D. No, fails the horizontal line test. Hint 11. Graph the equation using the graph of the given parent function.y = 1 , p(x) = x2 A. B. C. D. Hint 12. Use a graphing calculator to graph f(x) = x5 + x4 - x3 + 4 and to determine and classify the extrema. A. relative maximum (-2,-4)relative minimum (0,4) B. relative maximum (-1.27, 5.35)relative minimum (0.487, 3.968) C. relative maximum (0.487, 3.968)relative minimum (1.24,5.34) D. relative minimum (-2,-4) relative maximum (0,4) Hint 13. The function f(x) = - (x + 2)3 - 3 has a critical point at x = -2. Determine whether this is the location of a maximum, minimum or a point of inflection. A. extremum B. minimum C. maximum D. point of inflection Hint 14. Determine the equation of the horizontal asymptote for the function: f(x) = + 2. A. x = 0 B. y = 2 C. y = -2 D. y = 0 Hint 15. If y varies directly as the square root of x and x = 25 when y = -15, find xwhen y = -108. A. x = 6 B. x = 1500 C. x = -5 D. x = 4500 Hint 16. Which best describes this graph? A. inverse variation B. none of these C. direct variation D. joint variation Hint