anonymous
  • anonymous
find the domain and sketch the graph of the function
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
|dw:1378084747481:dw|
anonymous
  • anonymous
I know that the x cannot be zero
zzr0ck3r
  • zzr0ck3r
well that is the domain

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zzr0ck3r
  • zzr0ck3r
{x|x is not 0}
zzr0ck3r
  • zzr0ck3r
to sketch the graph just make a table of x values, find the y values, then plot
anonymous
  • anonymous
interesting graph...
zzr0ck3r
  • zzr0ck3r
wow, yeah it is...
anonymous
  • anonymous
ok
anonymous
  • anonymous
my picture does not match the answer in the back of the book
anonymous
  • anonymous
|dw:1378145227275:dw|
anonymous
  • anonymous
is that what the book shows or is that your pic? what is the other (not shown)?
anonymous
  • anonymous
this is the answer in the back of the book, but I do not understand how they arrived to that graph
anonymous
  • anonymous
rewrite g(x) \[g \left( x \right) = \frac{ 3x + x }{ x } = 4\text{ when } x>0\] \[g \left( x \right) = \frac{ 3x - x }{ x } = 2\text{ when } x<0\]
anonymous
  • anonymous
ok, should I do that for every function ? or only in certain instances
anonymous
  • anonymous
|x| is defined as a piece-wise function so sometimes it's helpful to write it out as such. then it's easier to see these sorts of oddities, or unexpected outcomes
anonymous
  • anonymous
so why was 2 and 4 chosen?
anonymous
  • anonymous
? they weren't chosen. 3x + x = 4x divide that by x and you get 4. likewise, 3x - x = 2x. divide by x and you get 2.

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