Advanced Functions - Test #1
July 3rd, 2009Hello new kids, and Kathy-Lee,
Our first test will be on Monday afternoon, covering all of the material thus far.
There are generally three sections to my tests:
Communication - questions that require you to communicate your understanding by using math terminology to explain concepts and recognize solutions
Knowledge - basic mathematical operations; show all steps
Inquiry & Applications - applying concepts to more challenging and often real-world problems
Material for Unit 1 - Characteristics of Functions
Defintions: polynomial, degree of polynomial, degree of term, coefficients, leading coefficients, constant term, power functions, end behaviour, symmetry: line and point, even and odd functions, average rate of change, instantaneous rate of change, slope, secant, tangent
Math Concepts:
• recognizing polynomial functions;
• recognizing line and point symmetry based on whether a function is even-degree or odd-degree;
• determining end behaviour based on degree of polynomial and leading coefficient;
• analyzing equations to sketch graphs: finding degree, leading coefficient, end behaviour, x-intercepts, y-intercept
• determining whether a function is even or odd: analyzing exponents and symmetry tests
• transformations: recognizing, calculating, applying each parameter and/or more than one at a time
• calculating average and instantaneous rates of change from graphs/tables/equations
Review from textbook:
Page 74 #1-4, 9, 10, 12, 14a, 15-18







