Question

How do I graph the equation |x|-|y|=1?

Answer 1

the absolute values are always gonna be v shaped

Answer 2

what do i do about |y|?

Answer 3

well if i was doing this problem i use graphing tech. geogabra.org best in the biz

Answer 4

I think its a diamond

Answer 5

i cant use graph tech.

Answer 6

http://www.geogebra.org/cms/en/

Answer 7

no, its not a diamond. its sumthing like tht

Answer 8

how would i draw it by hand?

Answer 9

like, i dont understand how to draw the equation of the graph by hand. I'm not even sure how to start.

Answer 10

notice that the point (1.5,.5) is in the graph, because 1.5-.5=1

Answer 11

so is (2,1)

Answer 12

(-2,-1)

Answer 13

ok.. and then?

Answer 14

is there any other algebraic way to do it other than plugging in numbers?

Answer 15

ok so you have |y|=|x|-1 right?

Answer 16

if y>0 then |y|=?

Answer 17

and
if y<=0 then |y|=?

Answer 18

recall the definition of absolute value
|f|=f if f>=0
|f|=-f if f<0
use that here for my question

Answer 19

we can split this into two easy to graph functions

Answer 20

now together of course it isn't a function