Question

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

Answer 1

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)

Answer 2

@samnatha r u there?????/

Answer 3

yes sorry was just tying to work it out

Answer 4

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

Answer 5

is anyone there ?

Answer 6

No. You don't need to solve that equation. Just make two tables of points and graph both on the same x-y graph

Answer 7

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

Answer 8

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|

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

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).

Answer 13

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

Answer 14

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

Answer 15

You're welcome

Answer 16

god the pressures of leaving cert math