AS/A2 Pure 1 Pure 3

P2 Topic 2: Functions
Curve recognition: test yourself 2
By clicking in the top line of the display below and then clicking Load Example, you can look at any of 10 curves. Initially they will all look very roughly similar - if you ignore the scales - but if you zoom in or out or drag a window to zoom in, you should find that they are not. What are their equations? The answers are at the bottom of the page.

Answers Curve 1: y=x Curve 2: y=x2 Curve 3: y=x2(x+1) Curve 4: y=(x-2)(x+1) Curve 5: y=|x| Curve 6: y= cos(x) Curve 7: y=x3 Curve 8: y=-(x-1)2 Curve 9: y=|(x-3)(x+2)| Curve 10: y=sin(x) Based on free Java applets from JavaMath