Question

Asha found that a vertical line intersects the graph of x=|y| at two points. What can Asha conclude about x=|y|?
It is a function of x but not a relation.
It is a relation but not a function of x.
It is both a function of x and a relation.
It is neither a function of x nor a relation.
Can someone help me figure this out?

Answer 1

x=|y| lol sorry...

Answer 2

The vertical line test is a way to check to see if a relation is a function or not

http://www.coolmath.com/algebra/15-functions/03-vertical-line-test-02

if it is possible for a vertical line to cross the function at more than one point, then it is NOT a function

Answer 3

blank xy axis

Answer 4

graph of x = |y|

Answer 5

thanks!

Answer 6

notice how it's possible to pass a vertical line through more than one point on the relation



so this is a relation, but not a function because it fails the vertical line test

Answer 7

thank you so much!

Answer 8

btw, a relation is simply a collection of ordered pairs (ie points)
if you plot all of the ordered pairs on the same xy axis coordinate system, then you get a graph (that sideways V shape shown)