PPT-Linear Relations and Functions

B1 Relations and Functions ACT WARMUP Emily scored 145 170 and 165 in 3 bowling games What should she score on her next bowling game if she wants to have an average score of exactly 170 for the 4 games. e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations . can. not . be. . seen. Rainer Kaenders. University . of. Cologne. GeoGebra Conference Linz 2011. Functions. . can. not . be. . seen. … but . can. . be. . represented. . GeoGebra . can. . Objective: Represent relations and graph linear functions. Function. In order to be a function, each input can only have one output. The input, usually x, is called the domain and is the independent variable. Holt Algebra I. – 5.1. LT: F.LE.1 - Distinguish between situations that can be modeled with linear functions and with exponential functions.. Warm-Up. Wednesday, 04 February 2015. Solve 2. x. – 3. Nuffield Secondary School Mathematics. BSRLM March 12. th. 2011. Algebraic reasoning. formulating, . transforming . and understanding unambiguous generalizations of numerical and spatial situations and relations; . David Plaxco. Linear Independence of Functions. Definition of linear independence of vector-valued functions. :. Let . f. i. : . I . = (. a,b. ) . → . . . n. , . I = 1, 2. ,…. , n. .. . The . Objective:. To graph relations. To identify functions. Relations. A relation is a set of pairs of input and output values.. You can write a relation as a set of ordered pairs.. Graphing Relations. To graph relations, plot the points. . Some of these recurrence relations can be solved using iteration or some other ad hoc technique. . However, one important class of recurrence relations can be explicitly solved in a systematic way. These are recurrence relations that express the terms of a sequence as linear combinations of previous terms.. Grigory. . Yaroslavtsev. (Indiana University, Bloomington). http://grigory.us. with . Sampath. . Kannan. (U. Pennsylvania),. Elchanan. . Mossel. (MIT) and . Swagato. . Sanyal. (NUS). -Sketching. 4. 3. 2. 1. 0. In addition to level 3.0 and beyond what was taught in class, the student may: . Make connection with other concepts in math.. Make connection with other content areas..  . The student will understand and explain the difference between functions and non-functions using graphs, equations, and tables.. Differentiate between linear and exponential functions.. 4. 3. 2. 1. 0. In addition to level 3, students make connections to other content areas and/or contextual situations outside of math..  . Students will construct, compare, and interpret linear and exponential function models and solve problems in context with each model.. Define appropriate quantities from a situation, choose and interpret the scale and the origin for the graph, and graph the piecewise linear function.. Learning Goal . 2 . (HS.N-Q.A.1, 2, 3):. The student will be able to use units to solve multi-step contextual problems. Differentiate between linear and exponential functions.. 4. 3. 2. 1. 0. In addition to level 3, students make connections to other content areas and/or contextual situations outside of math..  . Students will construct, compare, and interpret linear and exponential function models and solve problems in context with each model.. The objects of mathematics may be . related. in various ways. . A set . A. may be said to be “related to” a set . B. if . A. is a subset of . B. , or if . A. is not a subset of . B. , or if .