This video shows things you should already know about functions when you enter a PreCalc class.

This video shows things you should already know about inverse functions when you enter a PreCalc class.

Chapter 1

p.3 Work with functions that are defined graphically, algebraically, numerically, or verbally.
p.7 Make connections among the algebraic equation for a function, its name, and its graph.



While it is easy enough to tell a human that a function only applies to numbers between 7 and 11, it's harder to get that across to a calculator or computer. To do so, we take advantage of the fact that anything divided by zero is undefined and anything divided by one is unchanged. We can take the equation of any function and restrict the domain by dividing it by a variable that is defined as being either one or zero. If the value of x is within the restricted domain, for example, the variable is defined to be equal to one, and there is a value for f (x). If the value of x is not within the restricted domain, the variable is defined to be equal to zero, and there is no value for f (x). That is, the function only exists within the restricted domain.
p.15 Transform a given pre-image function so that the result is a graph of the image function that has been dilated by given factors and translated by given amounts.

This video shows examples of how to graph various transformations of functions.
p.22 Given two functions, graph and evaluate the composition of one function with the other.
p.33 Given a function, find its inverse relations, and tell whether or not the inverse relation is a function.

p.42 Given a function, transform it by reflection and by applying absolute value to the function or its argument.


This is a very quick review of both the graphical and the algebraic differences between odd and even functions.
p.50 Start writing a journal in which you can record things you have learned about precalculus mathematics and questions you have concerning concepts about which you are not quite clear.

UNIT 1 Review:

This video is a little choppy, but it is an in-class review of all of Chapter 1 just prior to the unit test.

 

Mr. Dorff's PreCalculus A Website

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