Composite Functions: Linear to Exponential

Open a new graphing window.

Define linear function f1 in terms of a variable.

Press Enter to graph it.

Now define exponential function f2 in terms of f1.

Press Enter to graph it.

Notice that the graph of f2 is the graph of an increasing exponential function.

Define function f3 in terms of f1 so that it results in a decreasing exponential function.

Define function f4 in terms of f1 so that it results in a decreasing exponential function

with a horizontal shift.

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

their relative distance from f1.