S4_3_Functions_Ch10 - www.mathsrevision.com S4 Credit...

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Unformatted text preview: www.mathsrevision.com S4 Credit www.mathsrevision.com www.mathsrevision.com Functions Illustrating a Function Standard Notation for a Function f(x) Graphs of linear and Quadratic Functions Exponential Function Summary of Graphs and Functions Mathematical Modelling Sketching Quadratic Functions Reciprocal Function Exam Type Questions Investigation of Area / Perimeter www.mathsrevision.com S4 Credit Feb 13, 2012 Feb 13, 2012 Created by Mr. [email protected] Created by Mr. [email protected] Starter Questions Starter Questions Q1. Remove the brackets (a) a (4y – 3x) = (b) (x + 5)(x - 5) = Q2. For the line y = -x + 5 , find the gradient and where it cuts the y axis. Q3. Find the highest common factor for p 2 q and pq 2 . 13 Feb 2012 13 Feb 2012 Created by Mr. [email protected] Created by Mr. [email protected] Learning Intention Learning Intention Success Criteria Success Criteria 1. 1. Understand the term function. Understand the term function. 1. To explain what a function is in terms of a diagram and formula. 2. 2. Apply knowledge to find functions Apply knowledge to find functions given a diagram. given a diagram. www.mathsrevision.com Functions S4 Credit www.mathsrevision.com S4 Credit What are Functions ? Functions describe how one quantity relates to another Car Parts Assembly line Cars www.mathsrevision.com S4 Credit What are Functions ? Functions describe how one quantity relates to another Dirty Washing Machine Clean Output Input y x Function f(x) y = f(x) www.mathsrevision.com S4 Credit If the first set is A and the second B then we often write f: A → B Defining a Functions Defn : A function is a relationship between two sets in which each member of the first set is connected to exactly one member in the second set. The members of set A are usually referred to as the domain of the function (basically the starting values or even x-values) while the corresponding values come from set B and are called the range of the function (these are like y-values). www.mathsrevision.com S4 Credit f(0) = f(1) = Functions can be illustrated in a number of ways: 1) by a formula. 2) by arrow diagram. Example Suppose that f: A → B is defined by f(x) = x 2 + 3x where A = { -3, -2, -1, 0, 1}....
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This note was uploaded on 02/13/2012 for the course MATH 115 115 taught by Professor Jones during the Spring '10 term at University of Phoenix.

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S4_3_Functions_Ch10 - www.mathsrevision.com S4 Credit...

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