Connections between Mapping Diagrams and Graphs.
In the left window is coordinate plane with a point $P = (-2,4)$ .
In the right window is a mapping diagram with an arrow,
$<a,b>$, between the point $a=2$ on the left axis and the
point $b=3$ on the right axis.
To see the arrow on the mapping diagram that corresponds to the
point P: Check the box in the left window "Show/Hide
In the mapping diagram will appear an arrow,
$<p_1,p_2>$, between points $p_1=-2$ and $p_2=4$
corresponding to the point $P$. You can move the point $P$ freely in
the plane with your mouse and see the corresponding mapping diagram
Removing the check in the box will hide the arrow and points
in the mapping diagram.
To see the point and arrows in the coordinate plane that
corresponds to the mapping diagram arrow between the points $A$
and $B$: Check the boxes in the right window "Show/Hide
Point on Graph on Graph" and "Show/Hide Arrows on Graph".
In the coordinate plane will appear the point with coordinates
$(a,b) = (2,3)$. The second box will show arrows, one from the point
labelled $a_1 = 2$ on the $X$- axis to the point $(2,3)$ and
another from the point $(2,3)$ to the point labelled $b_1 = 3$ on
the $Y$-axis corresponding to the mapping diagram arrow
$<a,b>$ between the points $a$ and $b$.
You can move the points $a$ and $b$ freely in the mapping diagram
with your mouse and see the corresponding points and arrows change.
Removing the checks in these boxes will hide the arrows and points
in the coordinate plane.