PPT-Exponential Notation

This course requires very little math just a small number of fairly simple formulas One math concept well need for the decibel scale later is exponential notation Its not hard and youve already had it. Exponential Growth Functions. If a quantity increases by the same proportion . r. in each unit of time, then the quantity displays exponential growth and can be modeled by the . equation. Where. C = initial amount. Multiplying Numbers in Scientific Notation. Multiply the decimal numbers together.. Add the exponents to get the power of 10. . General formula. : . . (N X 10. x. ) (M X 10. y. ) = (N) (M) X 10. Exponential Function. f(x) = a. x. . for any positive number . a. other than one.. Examples. What are the domain and range of. . y = 2(3. x. ) – 4?. What are the. roots of . 0 =5 – 2.5. x. ?. Exponential Functions & Their Graphs. Logarithmic Functions & Their Graphs. Properties of Logarithms . Exponential and Logarithmic Equations. Exponential and Logarithmic Models. a. b.. This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License. . Skills. : none. C. oncepts. : linear growth, exponential growth, linear scale plot, logarithmic scale plot, “hockey . By: . Enriqueta Ramirez and . Johnny Reyes. Acknowledgments. Susan B. Taber. . Using Alice in Wonderland to Teach Multiplication of Fractions. Kat Cain. . Lesson Template. Exponents in Wonderland. Scientific Notation Intro. Scientific Notation. Consists of two parts. 1. mantissa. The full size number that comes before x 10. 2. characteristic. The exponent that comes after x 10 and is superscript. Evaluating Rational & Irrational Exponents. Graphing Exponential Functions . f(x) = a. x. Equations with . x. and . y. Interchanged. Applications of Exponential Functions. Use calculators to calculate graphing points. Exponential Notation. Negative Exponents. Vocabulary. Monomial-”One Term” consisting of numbers and variables. . Monomials: x. 2. , 5, 3xy, 5x. 5. y. 2. Not Monomials: . x y. , 2x. 2. – 3x 2, 4x. 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.. scale - soon) . is . exponential notation.. It’s not hard, and you’ve already had it.. Exponential notation provides a convenient way to represent very large or very small numbers. Simple example:. 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.. molecular dynamics systems of coupled harmonic oscillators n = 2 or 3 n �� 1 continuum exponential growth and decay molecular dynamics systems of coupled harmonic oscillators All slides in this presentations are based on the book Functions, Data and Models, S.P. Gordon and F. S Gordon. ISBN 978-0-88385-767-0. Fitting Data to An Exponential Function. Although Linear Regression is a powerful tool, not all relationships between two quantities are linear. (See scatterplots in figure 5.28).