PPT-Exponential Notation 1-3

A Vocabulary Power product in which the factors are the same Exponent tells how many times the base is multiplied Base the number that is multiplied Exponential notation . Understanding the difference. Linear equations. These equations take the form:. . y. = . mx. + . b. . . m. is the slope of the line. . b. is the value of . y. when . x. = 0 . (the . y. - . 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. ?. 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 . Chapter 1.3. The Exponential Function. DEFINITION:. Let a be a positive real number other than 1. The function. is the . exponential function with base a. ..  . 2. The Exponential Function. The domain of an exponential function is . 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. Exponential Growth. Exponential growth. occurs when an quantity increases by the same rate . r. in each period . t. . When this happens, the value of the quantity at any given time can be calculated as a function of the rate and the original amount. . 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:. 3.2 Exponential growth and decay: Constant percentage rates. 1. Learning Objectives:. Understand exponential functions and consequences of constant percentage change.. Calculate exponential growth, exponential decay, and the half-life.. Growth of Product . U. sing Polymerase Chain Reaction (PCR). Intro. Using math to solve a biological science problem. Students will use their knowledge of:. Exponential equations. Molecular biology. HS Biology Standards. 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).