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onegirl

  • 2 years ago

Match the graphs of the functions on the left with the graphs of their derivatives on the right.

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  1. onegirl
    • 2 years ago
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  2. onegirl
    • 2 years ago
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  3. onegirl
    • 2 years ago
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  4. ZeHanz
    • 2 years ago
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    Do you know what the derivative of a 2nd degree function is?

  5. onegirl
    • 2 years ago
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    no

  6. ZeHanz
    • 2 years ago
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    You know the following I guess: If f is decreasing, then f' is negative (and vice versa). If f is increasing, then f' is positive ( and vv).

  7. onegirl
    • 2 years ago
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    yes

  8. ZeHanz
    • 2 years ago
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    No look at the first graph on the left. To the left of the y-axis, it is decreasing, to the right it is increasing.

  9. onegirl
    • 2 years ago
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    yes it does

  10. ZeHanz
    • 2 years ago
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    This means, for f' you are looking for a function that is negative on the left side of the y-axis and positive on the right.

  11. onegirl
    • 2 years ago
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    ok

  12. onegirl
    • 2 years ago
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    so it will be #2 in the second attachment?

  13. ZeHanz
    • 2 years ago
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    I can see it on one of your drawings on the right! Do you?

  14. onegirl
    • 2 years ago
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    Yes it will be number 2 ?

  15. onegirl
    • 2 years ago
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    so to will have letter A

  16. ZeHanz
    • 2 years ago
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    No, I've got C

  17. onegirl
    • 2 years ago
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    but you can't match a with c , it says to match the left with the right so it has to be a letter with a number

  18. ZeHanz
    • 2 years ago
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    I mean this (see image) The parabola on the left (2nd degree function) has the straight line on the right as it's derivative.

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  19. onegirl
    • 2 years ago
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    so number one will be 1 with letter c?

  20. onegirl
    • 2 years ago
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    I meant number 2 sorry

  21. onegirl
    • 2 years ago
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    so 2C ?

  22. ZeHanz
    • 2 years ago
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    Yes

  23. onegirl
    • 2 years ago
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    okay

  24. ZeHanz
    • 2 years ago
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    Now try #2. See what it does: increasing, decreasing, increasing. So you're looking for a graph that is +, then -, then +.

  25. onegirl
    • 2 years ago
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    i thought we already did number 2

  26. onegirl
    • 2 years ago
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    ?

  27. zepdrix
    • 2 years ago
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    He was telling you number #1 is C. There musta been some confusion there c:

  28. onegirl
    • 2 years ago
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    ohhh okay lol sorry

  29. onegirl
    • 2 years ago
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    so number 2 will be f?

  30. ZeHanz
    • 2 years ago
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    @zepdrix: thx

  31. ZeHanz
    • 2 years ago
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    Yes!

  32. onegirl
    • 2 years ago
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    okay :)

  33. ZeHanz
    • 2 years ago
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    I think you got it!

  34. onegirl
    • 2 years ago
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    number 3 looks funny

  35. zepdrix
    • 2 years ago
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    I think #2 is `e` actually :o hmm

  36. ZeHanz
    • 2 years ago
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    It is down, up, down, up, so look for -,+,-,+

  37. onegirl
    • 2 years ago
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    okay so number 3 will be A ?

  38. ZeHanz
    • 2 years ago
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    @zepdrix : you're right, I'm having trouble looking at three different pictures, @onegirl: sorry ;)

  39. onegirl
    • 2 years ago
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    okay thanks for the correction zep

  40. onegirl
    • 2 years ago
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    so 3A ?

  41. ZeHanz
    • 2 years ago
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    Yes, 3A

  42. onegirl
    • 2 years ago
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    okay

  43. onegirl
    • 2 years ago
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    so number 4 will be D?

  44. ZeHanz
    • 2 years ago
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    Right again! Always decreasing, so looking for a derivative that is always negative...

  45. onegirl
    • 2 years ago
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    okay

  46. onegirl
    • 2 years ago
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    so i'm guessing number 5 will be 5B?

  47. onegirl
    • 2 years ago
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    ?

  48. ZeHanz
    • 2 years ago
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    You guessed wrong... Look at graph #5 and compare with #3

  49. ZeHanz
    • 2 years ago
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    It behaves in the same way: dec, inc, dec, inc, so -,+,-,+

  50. onegirl
    • 2 years ago
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    ok so it will be 5f

  51. ZeHanz
    • 2 years ago
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    Oops, look something went wrong with my last response. Because 5 and 3 behave in the same way, you have to choose the same derivative: 5A

  52. onegirl
    • 2 years ago
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    ohh ok

  53. onegirl
    • 2 years ago
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    so letter A goes to two graphs? okay

  54. ZeHanz
    • 2 years ago
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    That's the mean part of the question ;)

  55. onegirl
    • 2 years ago
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    okay so how about the last one number 6?

  56. ZeHanz
    • 2 years ago
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    It goes down, then up, then down, so for f' we have: neg, pos, neg

  57. onegirl
    • 2 years ago
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    so it will be 6B

  58. ZeHanz
    • 2 years ago
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    No, that goes a lot more from - to + etc.

  59. ZeHanz
    • 2 years ago
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    (it is really simple)

  60. onegirl
    • 2 years ago
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    ohh so it will f since it does go negative pos then neg

  61. ZeHanz
    • 2 years ago
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    Yes, it's 6F. I must admit this kind of question can be confusing, because you constantly have to switch from increasing , decreasing to +, -.

  62. onegirl
    • 2 years ago
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    okay well thanks for your help

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