samnatha 3 years ago using the same axsis and scales graph the functions f(x)=|x| and g(x)= |2x - 3|

1. 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)

2. Aperogalics

@samnatha r u there?????/

3. samnatha

yes sorry was just tying to work it out

4. samnatha

i then have to solve |x| = | 2x-3|

5. samnatha

is anyone there ?

6. 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

7. samnatha

oh ok thanks theres another one which is |2x-3| < |x|

8. 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|

9. samnatha

ok thanks i got that bit but i'm not too sure on the second bit

10. mathstudent55

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11. mathstudent55

The soulition to |x| = |2x - 3| is where the two graphs intersect. There are two points.

12. samnatha

(1,1) and (3.5, 3.5) thats what i got on my graph is that right ?

13. 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).

14. mathstudent55

I think it's (1,1) and (3,3)

15. samnatha

ok my graph is probs a bit diff but thanks for your help :)

16. mathstudent55

You're welcome

17. samnatha

god the pressures of leaving cert math