anonymous
  • anonymous
WILL GIVE MEDAL!!! Please help me! !@zepdrix @phi @thomaster
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
|dw:1441149824377:dw|
anonymous
  • anonymous
Graph it. Find the domain and the range. How do I do this?
anonymous
  • anonymous
@jdoe0001 please help

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jdoe0001
  • jdoe0001
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
jdoe0001
  • jdoe0001
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
jdoe0001
  • jdoe0001
from the graph, you can pretty much get the domain and range
anonymous
  • anonymous
@jdoe0001 and the domain and range would be all real numbers?
jdoe0001
  • jdoe0001
well, real numbers that may not include \(\pm \infty\)
anonymous
  • anonymous
what do you mean?
jdoe0001
  • jdoe0001
that may nor may not include that is, may or may not include \(\Large \pm \infty\)
jdoe0001
  • jdoe0001
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?
anonymous
  • anonymous
It looks like the graphs, when all combined together, hit all real numbers
jdoe0001
  • jdoe0001
welll..yes... one could say \(\Large \mathbb{R}\) or one could also say it goes from \(-\infty\) to \(+\infty\)
jdoe0001
  • jdoe0001
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 \(-\infty\)
jdoe0001
  • jdoe0001
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 \(+\infty\)
jdoe0001
  • jdoe0001
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 \((-\infty,+\infty\)
jdoe0001
  • jdoe0001
well, \((-\infty,+\infty)\) parentheses on both ends, since infinity is not a number, thus never reached
anonymous
  • anonymous
thanks!
jdoe0001
  • jdoe0001
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
anonymous
  • anonymous
Would you mind helping me with another problem?
jdoe0001
  • jdoe0001
sure, post anew.. more eyes :)

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