PPT-Inverse Functions applied in real life situations.

Andrew Gardner Slides 25 Rafael Diaz Slides 911 Mosi Davis Slides 68 What is the Inverse Function and how is it applied with currency The Inverse Function is a function used to return a value from x to y For example . Another natural way to define relations is to define both elements of the ordered pair (x, y), in terms of another variable . t. , called a . parameter. Parametric equations: . equations in the form. 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. 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. A bit more practice in Section 4.7b. Analysis of the Inverse Sine Function. 1. –1. D:. R:. Continuous. Increasing. Symmetry: Origin (odd . func. .). Bounded. Abs. Max. of at . x. = 1. Abs. Min. of at . Goal: Use inverse variation and joint variation models.. Warm-up. Simplify:. Inverse Variation. 2 variables, x and y, vary inversely if:. k is called the constant of variation.. Example 1. Tell whether x and y show direct variation, inverse variation, or neither:. Section 5.6 Beginning on Page 276. What is the Inverse of a Function?. The inverse of a function is a generic equation to find the input of the original function when given the output [finding x when given y]. . We know how to graph the inverse of a function, but now we will look into expressing a new inverse function. Like before, let’s keep in mind the “switching x and y” theory. f. -1. (x). The inverse of the function f(x), f. 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.. Definition of Inverse Trig Functions. Graphs of inverse functions. Page 381. Ex. 1 Evaluating Inverse Trig Functions. a). arcsin. (-1/2). b). arcsin. (0.3). Properties of Inverse Functions. If -1≤x≤1 and –. 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 . by. Dr.. . Shorouk. . Ossama. Inverse Matrix :. If . A. is a square matrix. , and if a . matrix . B. of the same size . can be found such that . AB = BA = I. , then . A. is said to be . invertible. 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). SOL A8. by Robert Lotze, Moody Middle School. Direct Variation. The longer you shower, the more water you use.. You can describe this. Relationship using. . Direct Variation. The Direct Variation . . 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 .