1. State the domain of the function A. all real numbers except 0 B. all real numbers except 3 C. all real numbers except 0 and 3 D. all real numbers except 0, 1, and 3 Hint 2. Which is the graph of f(x) = [[2x]]? A. B. C. D. Hint 3. Solve the system of equations 2x + 3y = -7 and x - y = 4 by graphing. A. B. C. D. Hint 4. Solve the system of equations by substitution.x = zx - 2y + z = 62x + y - 2z = 1What is the value of x + y + z? A. 9 B. 11 C. 10 D. 8 Hint 5. Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation. A. A'(1, -2), B'(-5, 3), C'(-2, 6) B. A'(-1, 2), B'(-5, 3), C'(-2, 6) C. A'(1, -2), B'(5, -3), C'(2, -6) D. A'(-2, -1), B'(-3, -5), C'(-6, -2) Hint 6. Which of the following shows the system of equations using a matrix equation? A. B. C. D. Hint 7. Determine the symmetry of f(x) = x7. A. symmetric with respect to only the y-axis B. symmetric with respect to the origin C. not symmetric D. symmetric with respect to only the x-axis Hint 8. Determine whether the function f(x) = is continuous at x = 1. A. Yes, it is continuous at x = 1, but not at x = -1. B. None is correct. C. Yes, the inability to divide by 0 has no bearing on this problem. D. No, because substitutingx = 1 results in a denominator of 0. Hint 9. Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema. A. relative minimum: (1.38, -0.6); relative maximum: (0.6, 0.62) B. relative minimum: (-0.6, 1.38); relative maximum: (0.6, 0.62) C. relative maximum: (-0.6, 1.38); relative minimum: (0.6, 0.62) D. relative maximum: (1.38, -0.6); relative minimum (0.6, 0.62) Hint 10. Use the parent graph f(x) = to graph the functionk(x) = ; identify the new location of each asymptote. A. y = 5 B. x = 2 C. y = 2 D. x = 5 Hint 11. Graph y = . A. B. C. D. Hint 12. Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. A. = 2 = 6 = 12 B. = 0 = 2 = 4 C. = 2 = 6 = 36 D. = 2 = 6 = 42 Hint 13. Write an equation in slope-intercept form with a slope of that passes through the point (-3, -5). A. B. C. D. Hint 14. Which is the graph of the compound inequality 0 x + y 4? A. B. C. D. Hint 15. Choose the best method to solve the system of equations 4x + y = 6 and 2x - y = 10. A. Eliminate x B. Eliminate y C. Graphing D. Substitution Hint 16. Find the values of x and y for which the matrix equation is true. A. x = 4, y = 2 B. x = 2, y = 3 C. x = 3, y = 2 D. x = 1, y = 0 Hint 17. Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. A. (0,7) B. (0,0) C. (1,5) D. (3,7) Hint 18. Solve |4 - x| < 0. A. {x|x > 4} B. no solution C. all real numbers D. {x|x < 4} Hint 19. Determine the type of discontinuity this function exhibits. A. point discontinuity B. none of these C. infinite discontinuity D. jump discontinuity Hint 20. Determine the intervals on which the function f(x) = x3 + x2 + x is increasing and the intervals on which the function is decreasing. A. decreasing for all x B. increasing for all x C. increasing for x < 0 and x > 0 D. increasing for x < 0 and decreasing for x > 0 Hint