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Here are several equations from real life. Can you work out which measurements are possible from each equation?
By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
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
Make a functional window display which will both satisfy the manager and make sense to the shoppers
Which curve is which, and how would you plan a route to pass between them?
Plot the graph of x^y = y^x in the first quadrant and explain its properties.
Crack this code which depends on taking pairs of letters and using two simultaneous relations and modulus arithmetic to encode the message.
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.
We only need 7 numbers for modulus (or clock) arithmetic mod 7 including working with fractions. Explore how to divide numbers and write fractions in modulus arithemtic.