Composite Functions: Linear to Radical

Open a new graphing window.

Define linear function f1 in terms of a variable. Press Enter to graph it.

Now define radical function f2 in terms of f1. Press Enter to graph it.

Notice that the graph of f2 is the graph of a square root function.

Define function f3 in terms of f1 so that it results in a cube root function.

Define function f4 in terms of f1 so that it results in a fourth root function with a horizontal shift.

Change funciton f1 and see how the corresponding functions change,

while they maintain their relative distance from f1.