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salparadise64

  • 3 years ago

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

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  1. salparadise64
    • 3 years ago
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    http://vvcap.net/db/Ea8WobNvpKnowqaCZesR.htp

  2. UnkleRhaukus
    • 3 years ago
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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

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

  4. UnkleRhaukus
    • 3 years ago
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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

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

  6. UnkleRhaukus
    • 3 years ago
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    makes sense?

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

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

  9. UnkleRhaukus
    • 3 years ago
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    what have you got so far?

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

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

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

  13. salparadise64
    • 3 years ago
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    how?

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

  15. salparadise64
    • 3 years ago
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    how did you get that thou/

  16. UnkleRhaukus
    • 3 years ago
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    |dw:1360558315458:dw|

  17. UnkleRhaukus
    • 3 years ago
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    |dw:1360558377826:dw|

  18. UnkleRhaukus
    • 3 years ago
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    |dw:1360558456267:dw|

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

  20. salparadise64
    • 3 years ago
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    OHHHHHH

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

  22. UnkleRhaukus
    • 3 years ago
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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

  23. salparadise64
    • 3 years ago
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    how would i got about doing that?

  24. salparadise64
    • 3 years ago
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    i thik thats what they want us to do.

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

  26. salparadise64
    • 3 years ago
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    do i get just any set of points?

  27. UnkleRhaukus
    • 3 years ago
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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

  28. salparadise64
    • 3 years ago
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    thank you!

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