Graph sketching

Various solids are lowered into a beaker of water. How does the water level rise in each case?

Can you find the volumes of the mathematical vessels?

Can you draw the height-time chart as this complicated vessel fills with water?

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

Can you match the charts of these functions to the charts of their integrals?

Can you match these equations to these graphs?

What biological growth processes can you fit to these graphs?

If you plot these graphs they may look the same, but are they?

How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

Compares the size of functions f(n) for large values of n.