The principle is very simple: if you are given two functions ${f}_{1}(x)$ and ${f}_{2}(x)$ as well as two coefficients ${c}_{1}$ and ${c}_{2}$, you certainly know how to compute the combination $f(x)={c}_{1}{f}_{1}(x)+{c}_{2}{f}_{2}(x)$.

And you know as well that to every function corresponds its graph. But on the graphical side, the addition of functions may appear 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.

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- Description: find the linear combination of two functions by their graphs. interactive exercises, online calculators and plotters, mathematical recreation and games
- Keywords: interactive mathematics, interactive math, server side interactivity, analysis, geometry, functions, curves