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coolaidd Group Title

What is the approximate value of the function at x = -3?

  • 2 years ago
  • 2 years ago

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  1. coolaidd Group Title
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    • 2 years ago
  2. henpen Group Title
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    How high is the line (measured using the y-axis) over the horizontal point (x=) -3?

    • 2 years ago
  3. coolaidd Group Title
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    5?

    • 2 years ago
  4. CliffSedge Group Title
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    He's saying look above x=-3.

    • 2 years ago
  5. henpen Group Title
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    |dw:1347647720757:dw|

    • 2 years ago
  6. coolaidd Group Title
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    well up 1 from -3?

    • 2 years ago
  7. coolaidd Group Title
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    @henpen ??

    • 2 years ago
  8. CliffSedge Group Title
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    It's slightly higher than 1.

    • 2 years ago
  9. theEric Group Title
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    Somewhere around there! It looks closest to the y=1 line. To me it looks like 1.2 or somewhere around 1.2, but your teacher may want you to stick to the drawn lines for accuracy. I don't kno! But it is definately about 1. There's no way to konw exactly what it is without knowing how each horizontal value (such as -3) determines the vertical value (like the one we are trying to estimate).

    • 2 years ago
  10. theEric Group Title
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    CliffSedge made a good point, saying that it's greater than 1. It's true to say that this mystery value is between 1 and 2.

    • 2 years ago
  11. coolaidd Group Title
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    so is there a definite answer i can give?

    • 2 years ago
  12. CliffSedge Group Title
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    theEric's guess of 1.2 is pretty good. I really doubt it's higher than 1.3 or 1.4.

    • 2 years ago
  13. henpen Group Title
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    The whole point of an approximation is that you DON'T give a definite answer. Guess.

    • 2 years ago
  14. theEric Group Title
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    Has your teacher gave you any guidelines for estimating? and thank you!

    • 2 years ago
  15. coolaidd Group Title
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    nope :/

    • 2 years ago
  16. henpen Group Title
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    Really, I think you're over complicating. It looks sort of like it could be in the vicinity of 1.2 ish. Good enough.

    • 2 years ago
  17. coolaidd Group Title
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    thanks guys!

    • 2 years ago
  18. CliffSedge Group Title
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    There is a definite (exact) answer to give if you had the equation. You can make a good guess and be definite about how uncertain you are.

    • 2 years ago
  19. theEric Group Title
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    Sometimes teachers will want you to estimate a certain way, so that there is only one answer, and that might be the case here. So, in that sense there may be a definate answer where there is no definate value. I'd say just guess about 1.2! That would be what all my teachers would've liked, I think!

    • 2 years ago
  20. CliffSedge Group Title
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    It looks like the equation would be \[y=\frac{-1}{(x-3)}+1\] If you want to get it exactly.

    • 2 years ago
  21. CliffSedge Group Title
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    One of the important things about estimation is that you don't want to claim more precision than you actually have. In this situation, with that scale, you can't really get any better than to estimate to ±½ or ±¼ at best. You can definitely do better than rounding to the nearest whole number, so go out to the tenths place and you'll be fine.

    • 2 years ago
  22. theEric Group Title
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    CliffSedge proposed an equation that seems right! Notably, the asemptote is at x=2, and his formula yields y=2 at x=2 which looks pretty exact in the picture.

    • 2 years ago
  23. theEric Group Title
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    Again, CliffSedge made a great point: about accuracy this time!

    • 2 years ago
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