PPT-Functions and equations

Mr Thauvette DP SL Mathematics Graphs of Functions The x intercepts of a function are the values of x for which y 0 They are the zeros ie solutions roots of the function. They are im portant in math as well as in physical sciences physics and engineering They are especially important in solving boundary values problems in cylindrical coordi nates First we de57356ne another important function the Gamma function which 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 After linear functions the second most important class of functions are what are known as the exponential functions Population growth in64258ation and radioactive decay are but a few examples of the various phenomenon that exponential functions can *E*%*%*H"** %R*$R*E*D"***:@)02/+IR*303-I9)R*30@*5I02()5/9)*8)-)?302*)K2)803-*8)5,68=)5*2,*B,5)*,8*5,-?)*B8,4-)75"*%*ER*T*"#$%! $R*E*MAB)=/+/=*235*7,@)-5*38)*@)-/0)32)@*/0*2()*/2)7*5B)=/+/=32/,05*3?3/ for Incoming. STEM Majors. Presented by:. Brittney Gillespie and . Dr. James . Rauff. Algebra in a Week:. The Problem. An increasing number of incoming students intending to major in science or business require developmental mathematics.. 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 . Graphs of Logarithmic Functions . Log. 2. x. Equivalent Equations. Solving Certain Logarithmic Equations. 9.3. 1. Inverses of Exponential Functions. f(x) = 2. x. f. -1. (x) = ? x = 2. y. Standards 8-10. Graphs of Quadratic Functions . U- Shaped Graph . Vertical y=x. 2. or Horizontal x=y. 2. Positive Negative . Summary: The of a Quadratic Function is U shaped. . Positve. Int. Math 2. Vocabulary. Linear, non-linear, increasing, decreasing, rate of change, growth rate, domain, range, continuous, discontinuous, discrete, relation, function, inverse function, inverse . of a . Algebra 2. Chapter 5. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. NC Math 31North Carolina Standard Course of StudyNorth Carolina Math 3Standards for Mathematical Practice1Make sense of problems and persevere in solving them2Reason abstractly and 3Construct viable a 1North Carolina Standard Course of StudyNorth Carolina Math 2Standards for Mathematical Practice1Make sense of problems and persevere in solving them2Reason abstractly and quantitatively3Construct via ACT. Objectives . F-IF.4: For . a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. .