Slide

This function involves absolute values. To find the slope on the slide use different equations to define the function in different parts of its domain.

Loch Ness

Draw graphs of the sine and modulus functions and explain the humps.

Complex Countdown

Play a more cerebral countdown using complex numbers.

Squareness

Stage: 5 Challenge Level:

(1) Consider each quadrant separately or use a symmetry argument.

(2) Write $2^{1/n} = 1 + \delta$ and use the Binomial Theorem.

(3) Consider the symmetry of the graph and the point at which it cuts the line $y=x$.

(4) Use the result of (3) and a symmetry argument.