Functions and their inverses

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

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

When can a pdf and a cdf coincide?

Can you match these equations to these graphs?

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

What is happening at each box in these machines?

Decipher a simple code based on the rule C=7P+17 (mod 26) where C is the code for the letter P from the alphabet. Rearrange the formula and use the inverse to decipher automatically.

Crack this code which depends on taking pairs of letters and using two simultaneous relations and modulus arithmetic to encode the message.

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