Functions and their inverses

Make a functional window display which will both satisfy the manager and make sense to the shoppers

A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?

Can you make a curve to match my friend's requirements?

Consider these questions concerning inverting rational functions

Which curve is which, and how would you plan a route to pass between them?

Can you match these equations to these graphs?

When can a pdf and a cdf coincide?

Here are several equations from real life. Can you work out which measurements are possible from each equation?

Plot the graph of x^y = y^x in the first quadrant and explain its properties.

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?