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anonymous

  • one year ago

WILL GIVE MEDAL!!! Please help me! !@zepdrix @phi @thomaster

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  1. anonymous
    • one year ago
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    |dw:1441149824377:dw|

  2. anonymous
    • one year ago
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    Graph it. Find the domain and the range. How do I do this?

  3. anonymous
    • one year ago
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    @jdoe0001 please help

  4. jdoe0001
    • one year ago
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    well is just a piecewise function from x < 0, you'd graph \(x^2\) which is a parabola from 0 up to 3 over the x-axis, you'd graph x+2 which is a line and from 3 onwards towards positive infinity, you'd graph 4, or y =4, which is a horizontal line

  5. jdoe0001
    • one year ago
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    it'd look something like |dw:1441150875157:dw| a quadratic, then cut-off at 0, and then a slanted line, that is x+3, then cut-off, then a horizontal line

  6. jdoe0001
    • one year ago
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    from the graph, you can pretty much get the domain and range

  7. anonymous
    • one year ago
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    @jdoe0001 and the domain and range would be all real numbers?

  8. jdoe0001
    • one year ago
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    well, real numbers that may not include \(\pm \infty\)

  9. anonymous
    • one year ago
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    what do you mean?

  10. jdoe0001
    • one year ago
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    that may nor may not include that is, may or may not include \(\Large \pm \infty\)

  11. jdoe0001
    • one year ago
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    well... look at the graph, the domain is easy to get from there look how far the graph goes to the left look how far the graph goes to the right what's the domain?

  12. anonymous
    • one year ago
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    It looks like the graphs, when all combined together, hit all real numbers

  13. jdoe0001
    • one year ago
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    welll..yes... one could say \(\Large \mathbb{R}\) or one could also say it goes from \(-\infty\) to \(+\infty\)

  14. jdoe0001
    • one year ago
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    which is true, because the domain of the functon on the left-hand-side, or \(x^2\) its domain is \(\pm\infty\) so going to the left, that parabola will go to \(-\infty\)

  15. jdoe0001
    • one year ago
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    the parabola goes to 0, it doesn't contain 0, but the next equation does, x+3 so x+3 contains 0, goes up to 3 the joints up with the other equation, "4" or y =4, horizontal line and then that horizontal line, continues to \(+\infty\)

  16. jdoe0001
    • one year ago
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    so as you can see, from the graph, the parabola goes to \(-\infty\) the horizontal line goes to \(+\infty\) thus the domain is \(\mathbb{R}\) or \((-\infty,+\infty\)

  17. jdoe0001
    • one year ago
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    well, \((-\infty,+\infty)\) parentheses on both ends, since infinity is not a number, thus never reached

  18. anonymous
    • one year ago
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    thanks!

  19. jdoe0001
    • one year ago
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    do the same to get the domain, do the graph, and check how far up the y-axis the parabola goes, how far down, and the others

  20. anonymous
    • one year ago
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    Would you mind helping me with another problem?

  21. jdoe0001
    • one year ago
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    sure, post anew.. more eyes :)

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