PPT-Lesson 2.5 Inverse Functions

Page 108 Inverse The reversal of some process or operation For functions the reversal involves the interchange of the domain with the range Along with the reversal of the domain and range there is a reversal. . Relations. and . Functions. OBJ: . . . Find the . inverse. of a . relation. . . . . Draw the . graph. of a . function . and its . inverse. . . Determine whether the. Lesson 11-6. An equation in the form of ____________________ or . ____________ . is an inverse variation,. The constant of variation is _______, the _______________ of . . x. . and . y. for an ordered pair (x, y) that solves the inverse variation.. INVERSE FUNCTIONS. DO THIS NOW!. You have a function described by the equation: . f(x. ) = . x. + 4. The domain of the function is: {0, 2, 5, 10}. YOUR TASK: write the set of ordered pairs that would represent this function. Last Week Review. Matrix. Rule of addition. Rule of multiplication. Transpose. Main Diagonal. Dot Product. Block Multiplication. Matrix and Linear Equations. Basic Solution. X. 1. + X. 0. Linear Combination. 2x Leveraged ETF. . When index daily return rises 1%, ETF leveraged daily return rises 2%. 2X. -1x Inverse ETF. When index daily return drops 1%, ETF return rises 1%, hedging exposure to drop. -1X. 1X. Enea. Sacco. 2. Welcome to Calculus I!. Welcome to Calculus I. 3. Topics/Contents . Before Calculus. Functions. New functions from the old. Inverse Functions. Trigonometric Functions. Inverse Trigonometric Functions. Exponential and Logarithmic Functions. Identifying and Representing Functions. 6.1. Texas Essential. Knowledge and Skills. The student is expected to:. Proportionality—8.5.G. Identify functions using sets of ordered pairs, tables, mappings, and graphs.. Functions. Composite Functions . (f. ◦. g)(x)=f(g(x)). Inverses and 1-to-1 Functions. Finding Formulas for Inverses. Graphing Functions and Their Inverses. Inverse Functions and Composition. 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 . 2x Leveraged ETF. . When index daily return rises 1%, ETF leveraged daily return rises 2%. 2X. -1x Inverse ETF. When index daily return drops 1%, ETF return rises 1%, hedging exposure to drop. -1X. 1X. Chapter 3.8. Square Matrix. Although a matrix may have any number of rows and columns, . square matrices. have properties that we can use to solve systems of equations. A square matrix is one of the form . North Carolina Municipal Attorney’s Summer Conference . Asheville, August 6, 2010. 1. Inverse Condemnation – History and Nature of Action. “A taking without . formal . exercise of eminent domain” . The . inverse . of a relation is the set of ordered pairs obtained by . switching the input with the output. of each ordered pair in the original relation. (The domain of the original is the range of the inverse; and vice versa). A function maps each element in the domain to exactly 1 element in the range. . Concept 1. Example 1. Domain and Range. State the domain and range of the relation. Then determine whether the relation is a function. If it is a function, determine if it is .