The principle is very simple: if you are given two functions
f1(x) and f2(x) as well as two coefficients
c1 and c2, you certainly know how to compute the
combination f(x) = c1f1(x)
+ c2f2(x).
And you know as well that to every function corresponds its graph.
But on the graphical side, the addition of functions may apear harder,
as you no longer have obvious means to compute.
This is precisely what this exercise proposes: you will be given graphs of
functions, and asked to find back the coefficients of the combinations
leading to these graphs. Like many other exercises on WIMS, training by this
exercise will allow you to increase you ability to graphically recognize
functions.