AccountingQueen

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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

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    LSGH LLC
    Apr-2003 - Apr-2007

Category > Algebra Posted 18 Aug 2017 My Price 8.00

vertex and axis of symmetry of the graph of the function

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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Status NEW Posted 18 Aug 2017 05:08 PM My Price 8.00

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