PPT-Direct and Inverse Variation

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 . . Relations. and . Functions. OBJ: . . . Find the . inverse. of a . relation. . . . . Draw the . graph. of a . function . and its . inverse. . . Determine whether the. 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. Lesson 3.08 . packet. . http://www.virtualnerd.com/algebra-1/linear-equation-analysis/direct-variation/direct-variation-definition/constant-of-variation-definition. . Per 3: Extra Credit for no missing assignments. 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 5-2. Goals. Goal. To write and graph an equation of a direct variation.. Rubric. Level 1 – Know the goals.. Level 2 – Fully understand the goals.. Level 3 – Use the goals to solve simple problems.. 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]. . 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. 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 –. svitale@valbridge.com. 262-782-7990 . valbridge.com. ESREVNI. NOITANMEDNOC. Inverse Condemnation. vs. Eminent Domain. Eminent . domain refers to the legal proceeding in which government asserts its authority to condemn property and property owners receive just compensation. . 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” . y = . kx. , where k ≠ 0. . The constant of variation for a direct variation . k. is the coefficient of . x.. Example of direct variation. : The time it takes to hear thunder varies directly with the distance from lightning. (As the distance from lightning increases, so does the time it takes you to hear the thunder!). Engage NY: Lesson 5. Pink Packet pages 19-22. Write an expression to represent the temperature change.. In the morning, Harrison checked the temperature outside to find that it was -12°F. Later in the afternoon, the temperature rose 12°F. What was the afternoon temperature? . SOL A.8. Slope and Constant Of Variation. Constant of Variation and Slope are the same thing!!!. Slope Formula. . m=.  . What is the slope of a line passing through (0,0) and (4,1).. m=. = . = .