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. N is the process noise or disturbance at time are IID with 0 is independent of with 0 Linear Quadratic Stochastic Control 52 brPage 3br Control policies statefeedback control 0 N called the control policy at time roughly speaking we choo a 12 22 a a mn is an arbitrary matrix Rescaling The simplest types of linear transformations are rescaling maps Consider the map on corresponding to the matrix 2 0 0 3 That is 7 2 0 0 3 00 brPage 2br Shears The next simplest type of linear transfo Identifying functions . on tables, graphs, and equations.. Irma Crespo 2010. Warm Up. Graph y = 2x + 1. Rewrite the linear equation 3y + x = 9 to its slope-intercept form or the “y = ” form.. What is the linear equation for this graph?. 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. BSRLM discussion. March 12. th. 2011. Institute of Education. Why equations, graphs and functions. What’s the same and what’s different?. Equations. A=1/2bh . v. 2. - u. 2. = 2as . y = 2x+5 . 3x - 5=9 - 2x . Recurrence Relations. ICS 6D. Sandy . Irani. Recurrence Relations. to Define a Sequence. g. 0 . = 1. For n . 2, . g. n. = 2 g. n-1. + 1. A . closed form solution . for a recurrence relation, gives the n. 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. 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.. What is a piecewise function?. A piecewise function . (passes vertical line test) . is a function that is made up of different graphs for different intervals.. “Frankenstein Functions”. Students will be able to Identify and Graph piecewise functions (including absolute value) as evidenced by a math journal.. Quiz:. Fill in the blank of the following sentences:. A relation is a set if ____ pairs.. Real Number System. Natural Number(whole number). . . 1, 2, 3, 4, …,100,…1000,…1242345. Integer. . © 2016 Pearson Education, Inc. Linear Equations in Linear Algebra LINEAR INDEPENDENCE Slide 1.7- 2 © 2016 Pearson Education, Inc. LINEAR INDEPENDENCE Definition: A set of vectors { v 1 , …, 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 .