anonymous
  • anonymous
using the same axsis and scales graph the functions f(x)=|x| and g(x)= |2x - 3|
Mathematics
schrodinger
  • schrodinger
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mathstudent55
  • mathstudent55
Make a table of values for each function. To do that, come up with some values for x and calculate f(x) and g(x) f(x) = |x| x | f(x) ---------- -2 | 2 -1 | 1 0 | 0 1 | 1 2 | 2 Use the above points to graph f(x). Then do the same for G(X)
anonymous
  • anonymous
@samnatha r u there?????/
anonymous
  • anonymous
yes sorry was just tying to work it out

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anonymous
  • anonymous
i then have to solve |x| = | 2x-3|
anonymous
  • anonymous
is anyone there ?
mathstudent55
  • mathstudent55
No. You don't need to solve that equation. Just make two tables of points and graph both on the same x-y graph
anonymous
  • anonymous
oh ok thanks theres another one which is |2x-3| < |x|
mathstudent55
  • mathstudent55
Sorry, I misread your post. When you said you have to solve |x| = |2x - 3|. I thought you meant that you needed to solve that to get the graph. After you graph both f(x) and g(x on the same graph, see where the graphs intersect. That's the solution to|x| = |2x - 3|
anonymous
  • anonymous
ok thanks i got that bit but i'm not too sure on the second bit
mathstudent55
  • mathstudent55
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mathstudent55
  • mathstudent55
The soulition to |x| = |2x - 3| is where the two graphs intersect. There are two points.
anonymous
  • anonymous
(1,1) and (3.5, 3.5) thats what i got on my graph is that right ?
mathstudent55
  • mathstudent55
The solution to |2x - 3| < |x| is the x values for which the value of g(x) is less than the value of f(x). If you look in graph, see where the y vaslue of g(x) is lower than the y value of f(x).
mathstudent55
  • mathstudent55
I think it's (1,1) and (3,3)
anonymous
  • anonymous
ok my graph is probs a bit diff but thanks for your help :)
mathstudent55
  • mathstudent55
You're welcome
anonymous
  • anonymous
god the pressures of leaving cert math

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