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These are the Transum resources related to the statement: "Know and use the function a^{x} and its graph, where a is positive. Know and use the function e^{x} and its graph".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

Here are some exam-style questions on this statement:

- "
*While studying a new disease, scientists found that the number of toxic cells in the bloodstream increased over time, according to the model \(D(t)=12×(1.16)^t , t \ge 0\) where \(D\) is the number of the toxic cells in the bloodstream per litre and \(t\) is the time in hours.*" ... more - "
*Percy Cod and Fran Finklestein are both researchers working at different universities. They are each studying a different colony of bacteria which coincidentally start increasing in size at the same time.*" ... more - "
*In a remote lake it was noticed by conservationists that a disease was rapidly spreading amongst two species of fish, R and S, which is reducing their numbers. The conservationists calculated that the numbers of each type of fish can be modelled by the functions:*" ... more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

This video on Exponential and Logarithmic Functions is from Revision Village and is aimed at students taking the IB Maths AA SL/HL course

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