chapter 1 - MATH1010U: Chapter 1 1 FUNCTIONS AND MODELS...

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MATH1010U: Chapter 1 1 FUNCTIONS AND MODELS NOTE: Today is a VERY fast-paced review of some of the pre-calculus knowledge you should have for this course. To get more practice and make sure you understand the concepts, check out the pre-calc package at http://faculty.uoit.ca/kay/precalc with text files, mini-clips, and practice tests!!! Trigonometry (Appendix D, pg. A24) special angles converting between radians and degrees trig functions trig on unit circle Example: Convert 5 π radians to degrees. Example: Evaluate 3 4 cos NOTE: We will use radians in this course unless otherwise stated Four Ways to Represent a Function (Section 1.1, pg. 11) Domain and Range Definitions: Domain: The set of all possible x values that are admissible inputs into the function. Range: The set of all possible values of ) ( x f as x varies throughout the domain. Example: Find the domain of x x x x f 2 2 cos 3 1 1 4 ) ( + + =
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MATH1010U: Chapter 1 2 Useful Properties Symmetry Definition: A function is even if ) ( ) ( x f x f = for all x (i.e. symmetric with respect to the y -axis). A function is odd if ) ( ) ( x f x f = for all x (i.e. symmetric about the origin) NOTE: Many functions are neither even nor odd.
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chapter 1 - MATH1010U: Chapter 1 1 FUNCTIONS AND MODELS...

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