GRAPH THE FOLLOWING EQUATIONS AND EXPLAIN WHY THEY ARE NOT THE GRAPHS OF FUNCTIONS OF X. A) |x|+|y|=1 B) |x=y|=1 NO IDEA HOW TO SOLVE THIS :(

Question

GRAPH THE FOLLOWING EQUATIONS AND EXPLAIN WHY THEY ARE NOT THE GRAPHS OF FUNCTIONS OF X.  A) |x|+|y|=1        B) |x=y|=1   NO IDEA HOW TO SOLVE THIS :(

directrix · Answer

|x=y|=1 --> This has two equality signs. Typo?

anonymous · Answer

|x+y|=1 my bad

directrix · Answer

Did you draw the graphs yet?

directrix · Answer

Once you draw the graphs, you can use the Vertical Line Test to determine if the equations are graphs of functions.

anonymous · Answer

cant figure out how to graph those tho

directrix · Answer

Are you allowed to graph with technology?

directrix · Answer

If you know the definition of absolute value, you can get this one fairly quickly: |x+y|=1.

|x+y|=1 means:

x + y = 1   OR  x + y = -1

Plot those two graphs on the same set of axes. Post your sketch in this thread.

anonymous · Answer

would it be something like this? :/

directrix · Answer

@mehernadeem

Look at the equations: x + y = 1 OR x + y = -1

They have the same slope and different y-intercepts. They do not intersect.