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salparadise64

hey guys, sal here would like some help with these piecewise graphs

  • one year ago
  • one year ago

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  1. salparadise64
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    http://vvcap.net/db/Ea8WobNvpKnowqaCZesR.htp

    • one year ago
  2. UnkleRhaukus
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    step one: find the domain of each piece, step two: find the equation that describes the interval on each domain step three: combine

    • one year ago
  3. UnkleRhaukus
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    ill give you a different example |dw:1360553796475:dw|

    • one year ago
  4. UnkleRhaukus
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    |dw:1360554027098:dw| the domain for the first piece is 0≤x≤2 the equation for this interval is y=x the domain for the second piece is 2≤x the equation for the second piece is y=2

    • one year ago
  5. UnkleRhaukus
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    combining \[y=\begin{cases}x&0≤x≤2\\2&2≤x\end{cases}\]

    • one year ago
  6. UnkleRhaukus
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    makes sense?

    • one year ago
  7. salparadise64
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    yes!! a million times yes!! let me work it out! thank you so much, about to give up.

    • one year ago
  8. salparadise64
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    can you help me with number 1 on my link above? just to know im doing it right?

    • one year ago
  9. UnkleRhaukus
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    what have you got so far?

    • one year ago
  10. salparadise64
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    for the first one i got \[f(x) = \left\{ 3 ; 0 \le x \le 3\right\}\]

    • one year ago
  11. salparadise64
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    and \[\left\{ x ; 3\le x \le 6 \right\}\]

    • one year ago
  12. UnkleRhaukus
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    what did you get for the equation of the second interval , y=x? thats not right

    • one year ago
  13. salparadise64
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    how?

    • one year ago
  14. UnkleRhaukus
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    i mean y=-x+7 the slope is -1 and the y- intercept would be at y=7

    • one year ago
  15. salparadise64
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    how did you get that thou/

    • one year ago
  16. UnkleRhaukus
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    |dw:1360558315458:dw|

    • one year ago
  17. UnkleRhaukus
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    |dw:1360558377826:dw|

    • one year ago
  18. UnkleRhaukus
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    |dw:1360558456267:dw|

    • one year ago
  19. UnkleRhaukus
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    \[y=mx+b=-x+7\]

    • one year ago
  20. salparadise64
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    OHHHHHH

    • one year ago
  21. salparadise64
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    is that the way to do it thou? or is there some equation/

    • one year ago
  22. UnkleRhaukus
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    um, you could find the equation of the line using the Two-point formula, since you have at least two points

    • one year ago
  23. salparadise64
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    how would i got about doing that?

    • one year ago
  24. salparadise64
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    i thik thats what they want us to do.

    • one year ago
  25. UnkleRhaukus
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    the Two-point formula\[y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\]

    • one year ago
  26. salparadise64
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    do i get just any set of points?

    • one year ago
  27. UnkleRhaukus
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    so you could use the points \((x_1,y_1)=(3,4)\) \((x_2,y_2)=(6,1)\) but you could choose different points on the line and you should get the same answer

    • one year ago
  28. salparadise64
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    thank you!

    • one year ago
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