1 / 60

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.

denim
Download Presentation

CH. 1-3 TEST REVIEW

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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!

More Related