Use this to set function f(x) and g(x), then add, subtract, multiply, divide, and compose them to create new functions and see what their graph would look like.
Try to predict what the graph would look like before creating it in Geogebra.

Predict what the f(x)+g(x) would look like, now type it in the input bar.
Were your predictions correct?
Predict what the graph of f(x)-g(x) would look like, now type it in the input bar.
Were your predictions correct?
Predict what the graph of g(x)-f(x) would look like, now type it in the input bar.
Were your predictions correct?