Composite Functions: Linear to Logarithmic

Open a new graphing window.

Define linear function f1 in terms of a variable.

Press Enter to graph it.

Now define logarithmic function f2 in terms of f1.

Press Enter to graph it.

Notice that the graph of f2 is the graph of a logarithmic function of base 10.

Define function f3 in terms of f1 so that it results in a logarithmic function of base e.

Define function f4 in terms of f1 so that it results in a logarithmic function of base 5 but with a horizontal shift.

Change function f1 and see how the corresponding functions change, while they maintain

their relative distance from f1.