Lecture Notes/ Labs + Solutions for 116 Waterloo Engineering Cal 1

# Lecture Notes/ Labs + Solutions for 116 Waterloo Engineering Cal 1

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Tuesday September 13 Lecture 1: Review of functions. (Refers to section 1.2 to 1.5 in your text) A student that has mastered the contents of this lecture knows abouts : function , domain of a function, range or image , graph , vertical line rule , polynomial , degree of a polynomial, absolute value function, even function, odd function, rational functions , trigonometric functions , translation of functions . Review of the notion of a function . 1.1 Definition – A function is a rule that assigns to each element x in a set D exactly one element y , denoted by y = f ( x ), in a set E . We also express the function f ( x ) simply as f . 1.1.1 Related concepts – Here are a few concepts associated to the notion of a function. In the above definition the set D is called the domain of the function f ( x ). The range of the function f is the set of all possible values of f ( x ) as x varies over the domain D . Instead of « range of the function f » the expression « image of the domain D under the function f » is often used and means the same thing. The independent variable x is the symbol we use to represent an arbitrary element in the domain of f . The dependent variable y is the symbol that represents an arbitrary element in the range of f . Given a function

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## This note was uploaded on 12/28/2011 for the course MATH 116 taught by Professor Robertandre during the Spring '11 term at Waterloo.

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Lecture Notes/ Labs + Solutions for 116 Waterloo Engineering Cal 1

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