MONDAY: Here we are asked to read a mapping diagram and to determine the function that the given information represents.
PS: You will probably have noticed that P can be thought of as the centre of enlargement for the linear function. Image points (ie points on the y axis) are 3 times the distance from P as object points (ie the corresponding points on the x axis). So the scale factor of the 'enlargement' is ×3. Similarly, the distance between a pair of points on the y axis is 3 times the distance of corresponding points on the x axis.
In part i, the same distance-relationships hold, ie the scale factor is still ×3. However, in part ii the distance-relationships change, and therefore so does the scale factor. Has it got smaller or larger?
THURSDAY 1: Here we extend the notion that the arrows on mapping diagrams of linear functions emanate from a 'centre of enlargement', by considering centres that lie between the two axes. What does that tell us about the 'scale factor', ie the value of m in y = mx + c ?
THURSDAY 2 (instead of Good Friday): Here we consider the inverse of our original function.
The inverse takes us back to where we started. One way of representing this there-and-back journey is by adding a second mapping diagram that is a reflection of the original, as here: