is x=|y+2| a function or not?why or y not?
thanks in advance
[y + 2] = X.
The Eq is an absolute value function.
It is a function , because it passes the vertical line test:
If you draw a vertical line through the
graph of an Eq and it intersects the graph only once, the Eq is a function.
[Y + 2] = X,
+-(Y + 2) = X,
+(Y + 2) = X,
Y + 2 = X,
Y = X - 2.
-(Y + 2) = X,
-Y - 2 = X,
-Y = X + 2,
Multiply both sides by -1 and get:
y = -x -2.
Eq1: Y=X - 2. (-2, -4), (0, -2)(2, 0).
Eq2: Y=-X -2. (2, -4),(0, -2), (-2, 0).
We have 2 Eqs, because the quanity in
the brackets can be a positive or negative number: [-6] = 6, [6] = 6.
If you graph the Eqs, you'll notice
that they form a rt angle at the point of intersection.