CraigsMaths

Mathematics Teaching for Learning

Sketching exponential functions summary

September 20th, 2008

As discussed in graphs of exponential functions the most informative approach is to view the general form

y=ae^{b\left(x-c\right)}+d

as a set of transformations.

These transformations are summarised here in tabular form. Read the rest of this entry »

Graphs of logarithmic functions

August 25th, 2008

By comparing logarithmic functions with the simple form it is easy to sketch their graphs using a transformational approach. Read the rest of this entry »

Graphs of exponential functions

August 18th, 2008

By comparing exponential and logarithmic functions with their simplest forms it is easy to sketch their graphs using a transformational approach.

All graphs in this article were created with OpenPlaG.

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Laws of Indices and Logarithms

August 18th, 2008

Memorise these indices and logarithms laws. Indices and logarithms are two different ways of saying the same thing. For example:

y=\log_{a}x is read as “a raised to the power of y equals x“.

that is:

a^{y}=x.

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Factors of quadratics

August 13th, 2008

When factorising quadratics (or any trinomial) first identify the form of the expression and then apply the most direct method. If the expression is not in a recognisable form then manipulate it so that it is.

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