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CH. 1-3 TEST REVIEW

CH. 1-3 TEST REVIEW. PRE-CALCULUS. See me? I precede bonus slides!. See me? I precede “fastest-answer” problems. IS THIS A FUNCTION?. YES! THERE IS EXACTLY ONE OUTPUT FOR EACH INPUT. IS THIS A FUNCTION?. 4X + 2Y = 24.

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CH. 1-3 TEST REVIEW

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  1. CH. 1-3 TEST REVIEW PRE-CALCULUS

  2. See me? I precede bonus slides!

  3. See me? I precede “fastest-answer” problems

  4. IS THIS A FUNCTION? YES! THERE IS EXACTLY ONE OUTPUT FOR EACH INPUT.

  5. IS THIS A FUNCTION? 4X + 2Y = 24 YES! Y CAN BE SOLVED FOR EXPLICITLY (Y=12-2X). FOR EACH X VALUE THERE IS ONLY ONE Y VALUE.

  6. Condense into a single logarithm: 2logx + 3logy – 4logz

  7. Find the average rate of change F(x) = x2 + 6x + 3 X1= 2 x2=6 f(x2) – f(x1) = x2 – x175 – 19 = 6 – 2 56/4 = 14

  8. READY…SET….GO!

  9. Write an equation for the described function f(x)= x2 stretched 4 units up, 3 units to the left. (x+3)2 + 4

  10. BONUS!

  11. Find the domain of the function: X > 6 or[6,∞)

  12. F(x)=x2-4 G(x) = 3x + 1 Evaluate: (f+g)(x) X2 + 3x - 3

  13. F(x)=x2-4 G(x) = 3x + 1 Evaluate: (fg)(6) 32 * 19 = 608

  14. F(x)=x2-4 G(x) = 3x + 1 Evaluate: (g/f)(3) 10 / 5 =2

  15. Describe the end behavior: F(x) = 4x2 + 5x3 Left: DownRight: Up

  16. READY…SET….GO!

  17. Find the zeros (and multiplicity if necessary) G(x) = x5 +6x4 + 8x3 X=0 (mult. 3), -2, -4

  18. Expand: 0.5 [ logx – logy –logz]

  19. Find x (to the hundredths) Ln(2x) + 4 = 12 2x = e8x = 1490.48

  20. BONUS!

  21. (6+14i) + (8 – 13i) 14 + i

  22. Find all asymptotes Vertical Asymptote: x = -1, x = -4Horizontal Asymptote: y = 6

  23. Describe the end behavior: F(x) = 3x7 – 2x8 Left: DownRight: Down

  24. Evaluate f(4). Round to the hundredth. F(x) = ln(7x) F(4) = 3.33

  25. READY…SET….GO!

  26. Solve the inequality: X2 + 3x < 18 (-6,3)

  27. How long does it take to double your investment with a 10% interest rate, continuously compounded? Round to the hundredth of a year. A=Pert2=ertln2=rtt=6.93 years

  28. Solve for x: X2 + 14x = 9x + 6 X = 1, -6

  29. BONUS!

  30. Solve for x. Round to the hundredth. 2(e3x) = 240 e3x=1203x = ln120x = (1/3)(ln120)x=1.60

  31. What is the limiting value of f(t) as t increases to infinite? 24/12 =2

  32. HALFTIME! TAKE A 10 MINUTE BREAK

  33. Evaluate. Round to the nearest thousandth. Log5255 3.443

  34. Condense into a single logarithm 0.5 [ lnx – ln(k+1) – lny]

  35. READY…SET….GO!

  36. Expand the logarithm: log3x3y2 log3 + 3 logx + 2logy

  37. Find the average rate of change: X1=0 X2=6 f(x2) – f(x1) = x2 – x17 – 5 =6 – 01/3

  38. Write an equation for the described function: The shape of f(x)= logx moved down 4 units, to the left 3 units, and reflected across the x-axis. F(x) = - log(x+3) + 4

  39. READY…SET….GO!

  40. Find the domain: F(x) = log(x-2) (2,∞)

  41. Expand: (4 + 3i)*(2 – 5i) 23 – 14i

  42. Find the domain: X ≠ 2, -12

  43. BONUS!

  44. h(x) = x2 + 5 p(x) = 6x -3 Find h(p(2)) h(9) = 86

  45. h(x) = x2 + 5 p(x) = 6x -3 Find p(h(x)) p(x) = 6x2 + 27

  46. Solve the inequality: (x+4)2 >16 (-∞,-8)(0, ∞)

  47. READY…SET….GO!

  48. h(x) = x2 + 5 p(x) = 6x -3 Find p-1(x) P-1(x) = x + 3 6

  49. Find x. X=2 , 5

  50. (FINAL) BONUS!

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