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Teaching Since: | Jul 2017 |
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Questions Answered: | 5502 |
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MBA.Graduate Psychology,PHD in HRM
Strayer,Phoniex,
Feb-1999 - Mar-2006
MBA.Graduate Psychology,PHD in HRM
Strayer,Phoniex,University of California
Feb-1999 - Mar-2006
PR Manager
LSGH LLC
Apr-2003 - Apr-2007
Q1. Find the vertex and axis of symmetry of the graph of the function f(x) = 3x2 + 36x. a. (-6, -108); x = -6 b. (-6, 0); x = -6 c. (6, -108); x =6 d. (6, 0); x = 6 Q2. Graph the function f(x) = -x2 + 3 by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). a. b. c. d. Q3. Find the average rate of change for the function f(x) = 3/(x - 2) from the values 4 to 7. a. 7 b. 1/3 c. -3/10 d. 2 Q4. The graph of a function f is given. Find the numbers, if any, at which f has a local minimum. What are the local minima? a. f has a local minimum at x = -2; the local minimum is 0 b. f has a local minimum at x = 0; the local minimum is 3 c. f has a local minimum at x = -2 and 2; the local minimum is 0 d. f has no local minimum Q5. Determine where the function f(x) = -x2 + 8x - 7 is increasing and where it is decreasing. a. increasing on (4, ∞) and decreasing on (-∞, 4) b. increasing on (-∞, 4) and decreasing on (4, ∞) c. increasing on (9, ∞) and decreasing on (-∞, 9) d. increasing on (-∞, 9) and decreasing on (9, ∞) Q6. Find the domain of the function f(x) = √7 - x. a. {x|x ≤ 7} b. {x|x ≠7} c. {x|x ≠√7} d. {x|x ≤ √7} Q7. The graph of a function f is given. Find the numbers, if any, at which f has a local maximum. What are the local maxima? a. f has no local maximum b. f has a local maximum at -π; the local maximum is 1 c. f has a local maximum at x = 0; the local maximum is 1 d. f has a local maximum at x = -π and π; the local maximum is -1 Q8. In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.90 as soon as you get in the taxi, to which a charge of $1.70 per mile is added. Find an equation that can be used to determine the cost, C(x), of an x-mile taxi ride. a. C(x) = 1.70 + 2.90x b. C(x) = 3.10x c. C(x) = 4.60x d. C(x) = 2.90 + 1.70x Q9. Find -f(x) when f(x) = -2x2 + 5x + 2. a. 2x2 - 5x + 2 b. -2x2 - 5x - 2 c. -2x2 - 5x + 2 d. 2x2 - 5x - 2 Q10. Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is $1.90. The total cost to regrind 50 platens is $400. Find the linear cost function to regrind platens. If reground platens sell for $8.80 each, how many must be reground and sold to break even? a. C(x) = 1.90x + 305; 45 platens b. C(x) = 1.90x + 400; 38 platens c. C(x) = 1.90x + 400; 58 platens d. C(x) = 1.90x + 305; 29 platens Q11. Graph the function f(x) = x2 + 8x + 7 using its vertex, axis of symmetry, and intercepts. a. b. c. d. Q12. For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists. a. Absolute maximum: f(4) = 7; Absolute minimum: f(1) = 2 b. Absolute maximum: f(4) = 7; Absolute minimum: none c. Absolute maximum: none; Absolute minimum: none d. Absolute maximum: none; Absolute minimum: f(1) = 2 Q13. Find the vertex and axis of symmetry of the graph of the function f(x) = x2 - 10x. a. (-5, 25); x = -5 b. (25, -5); x = 25 c. (-25, 5); x = -25 d. (5, -25); x = 5 Q14. Determine the slope and y-intercept of the function F(x) = x/4. a. m = 0; b = 1/4 b. m = 1/4; b = 0 c. m = 4; b =0 d. m = -1/4; b = 0 Q15. Find the average rate of change for the function f(x) = -3x2 - x from the values 5 to 6. a. 1/2 b. -2 c. -34 d. -1/6 Q16. Use the graph to find the intervals on which it is increasing, decreasing, or constant. a. Increasing on (-3, -2) and (2, 4); decreasing on (-1, 1); constant on (-2, -1) and (1, 2) b. Decreasing on (-3, -2) and (2, 4); increasing on (-1, 1); constant on (-2, -1) and (1, 2) c. Decreasing on (-3, -2) and (2, 4); increasing on (-1, 1) d. Decreasing on (-3, -1) and (1, 4); increasing on (-2, 1) Q17. Graph the function h(x) = -2x + 3. State whether it is increasing, decreasing, or constant. a. b. c. d. Q18. The owner of a video store has determined that the profits P of the store are approximately given by P(x) = -x2 + 150x + 50, where x is the number of videos rented daily. Find the maximum profit to the nearest dollar. a. $5675 b. $11,250 c. $5625 d. $11,300 Q19. The graph of a function is given. Decide whether it is even, odd, or neither. a. even b. odd c. neither Q20. Find (f - g)(4) when f(x) = 5x2 + 6 and g(x) = x + 2. a. 80 b. 88 c. 84 d. -90 Q21. Find the real solutions of the equation x4 - 8x3 + 16x2 + 8x - 17 = 0. a. {-1, 1} b. {-1, 4} c. {-4, 4} d. {-4, 1} Q22. Solve the inequality algebraically. Express the solution in interval notation. (x - 2)2(x + 9) < 0 a. (-∞, -9) or (9, ∞) b. (-∞, -9] c. (-∞, -9) d. (-9, ∞) Q23. Find the domain of the rational function f(x) = (x + 9)/(x2 - 4x). a. {x|x ≠-2, x ≠2} b. {x|x ≠-2, x ≠2, x ≠-9} c. all real numbers d. {x|x ≠0, x ≠4} Q24. Use transformations of the graph of y = x4 to graph the function f(x) = 5x4. a. b. c. d. Q25. For the polynomial f(x) = 4(x - 5)(x - 6)3, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x-intercept. a. 5, multiplicity 1, touches x-axis; 6, multiplicity 3 b. -5, multiplicity 1, touches x-axis; -6, multiplicity 3 c. 5, multiplicity 1, crosses x-axis; 6, multiplicity 3, crosses x-axis d. -5, multiplicity 1, crosses x-axis; -6, multiplicity 3, crosses x-axis Q26. Find a bound on the real zeros of the polynomial function f(x) = x4 - 8x2 - 9. a. -17 and 17 b. -9 and 9 c. -18 and 18 d. -10 and 10 Q27. Solve the inequality algebraically. Express the solution in interval notation. x3 ≥ 27 a. (-∞, 3] b. (-∞, -3] ∪ [3, ∞) c. [-3, 3] d. [3, ∞) Q28. The function f(x) = x4 - 5x2 - 36 has the zero -2i. Find the remaining zeros of the function. a. 2i, 6, -6 b. 2i, 3i, -3i c. 2i, 3, -3 d. 2i, 6i, -6i Q29. Find the intercepts of the function f(x) = 4x5(x + 3)3. a. x-intercepts: 0, -3; y-intercept: 0 b. x-intercepts: 0, 3; y-intercept: 4 c. x-intercepts: 0, 3; y-intercept: 0 d. x-intercepts: 0, -3; y-intercept: 4 Q30. Use the graph to find the vertical asymptotes, if any, of the function. a. none b. x = -2 c. y = -2 d. x = -2, x = 0 Q31. Use the Factor Theorem to determine whether x + 5 is a factor of f(x) = 3x3 + 13x2 - 9x + 5. a. Yes b. No Q32. List the potential rational zeros of the polynomial function f(x) = x5 - 6x2 + 5x + 15. Do not find the zeros. a. ± 1, ± 1/5, ± 1/3 ± 1/15 b. ± 1, ± 5, ± 3, ± 15 c. ± 1, ± 5, ± 3 d. ± 1, ± 1/5, ± 1/3, ± 1/15, ± 5, ± 3,± 15 Q33. Find the x-intercepts of the graph of the function f(x) = (x - 3)(2x + 7)/(x2 + 9x - 8). a. (3, 0), (-7, 0) b. (-3, 0), (7/2, 0) c. (3, 0), (-7/2, 0) d. none Q34. Find the power function that the graph of f(x) = (x + 4)2 resembles for large values of |x|. a. y = x8 b. y = x2 c. y = x4 d. y = x16 Q35. Use the Intermediate Value Theorem to determine whether the polynomial function f(x) = -4x4 - 9x2 + 4; has a zero in the interval [-1, 0]. a. f(-1) = -9 and f(0) = -4; no b. f(-1) = 9 and f(0) = 5; no c. f(-1) = 9 and f(0) = -4; yes d. f(-1) = -9 and f(0) = 4; yes Q36. Find the intercepts of the function f(x) = x2(x - 1)(x - 6). a. x-intercepts: 0, -1, -6; y-intercept: 0 b. x-intercepts: 0, 1, 6; y-intercept: 6 c. x-intercepts: 0, 1, 6; y-intercept: 0 d. x-intercepts: 0, -1, -6; y-intercept: 6 Q37. Solve the inequality algebraically. Express the solution in interval notation. (x - 6)/(x + 3) > 0 a. (-∞, -3) ∪ (6, ∞) b. (-∞, -3) c. (6, ∞) d. (-3, 6) Q38. Give the equation of the horizontal asymptote, if any, of the function f(x) = (x2 - 5)/(25x - x4). a. y = -1 b. no horizontal asymptotes c. y = 0 d. y = -5, y = 5 Q39. Find the x- and y-intercepts of f(x) = (x + 1)(x - 4)(x - 1)2. a. x-intercepts: -1, 1, -4; y-intercept: 4 b. x-intercepts: -1, 1, 4; y-intercept: 4 c. x-intercepts: -1, 1, -4; y-intercept: -4 d. x-intercepts: -1, 1, 4; y-intercept: -4 Q40. Find all zeros of the function f(x) = 2x4 + 3x3 + 16x2 + 27x - 18 and write the polynomial as a product of linear factors. a. f(x) = (2x - 1)(x + 2)(x + 3)(x - 3) b. f(x) = (2x + 1)(x - 2)(x + 3)(x - 3) c. f(x) = (2x - 1)(x + 2)(x + 3i)(x - 3i) d. f(x) = (2x + 1)(x - 2)(x + 3i)(x - 3i)
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