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Substituting into a Formula
Algebraic Manipulation
Indices
Sigma Notation
Inequalities
Factorial Notation
Exponential Functions
Logarithmic Functions
Simultanous Equations
Plotting Coordinates
Straight Line Graphs
Quadratic Graphs
Exponential Graphs
Logarithmic and Square Root Graphs
Differentiation
Integration

MathQuiz 4.2
University of Sydney
School of Mathematics
and Statistics
© Copyright 2004

Graphing Logarithmic and Other Functions  

How to use this topic lion

Step 1:  
Complete Quiz 1.
Step 2:   If successful move on to the next topic.
If unsuccessful investigate the topic using the websites below.
Step 3:   Complete Quiz 2.
Step 4:   If successful move on to the next topic.
If unsuccessful investigate the topic further using the websites below.
Step 5:   Complete Quiz 3.
Step 6:   If successful move on to the next topic.
If unsuccessful investigate the Further Resources below.
Useful Websites lion

Log graphs

Sosmaths has some good lessons on exponential and logarithmic graphs at http://www.sosmath.com/algebra/logs/log4/log42/log42.html and further information on logarithmic graphs at http://www.sosmath.com/algebra/logs/log4/log42/log422/log422.html. See http://www.purplemaths.com/modules/graphlog.htm for further information on logarithmic and square root graphs. Another useful site that looks at translating the logarithmic function and the relationship between logarithmic and exponential functions is http://www.themathpage.com/aPreCalc/logarithmic-exponential-functions.htm, although you need to be careful with the notation, it is not rendered well on my browser. Another applet at http://www.uncwil.edu/courses/mat111hb/EandL/log/log.html allows you to investigate the relationship between the exponential function and the logarithmic function.

Square root graphs

The relationship between parabolas and square root graphs can be found at http://www.themathpage.com/aPreCalc/graph-of-parabola.htm#parabola, and http://www.purplemaths.com/modules/graphlog.htm has information on logarithmic and square root graphs.

Further Resources lion

The Mathematics Learning Centre holds workshops at the beginning of each semester. Keep an eye out for dates.

There is a Massey Universtiy Site that covers most topics well and is worth having a good look at. There are also some quizzes at http://webct-ce.massey.ac.nz/SCRIPT/tsamith1/scripts/serve_home that can help you identify problem areas.