that best completes the statement or answers the question. ____ 1. Tell whether the function y = 2( 5 ) shows growth or decay. Then graph the function. a. This is an exponential growth function. c. This is an exponential decay function. x b. This is an exponential growth function. d. This is an exponential growth function. ____ 2. Graph the inverse of the relation. Identify the domain and range of the inverse. x y −1 4 1 2 3 1 5 0 7 1 a. c. Domain: {x | 0 ≤ x ≤ 4}; Range: {y | − 1 ≤ y
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which relation is a function? State your reason. Part 2 a) You are required to come out with an attractive and creative card. Your card must have the following information. i) a family photo ii) a family tree b) Write a short description about your family in not more than 150 words. Part 3 Based on Diagram 3‚ answer the following questions. Diagram 3 Find a) function [pic] and function [pic]. b) the inverse function [pic] and [pic]
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Policies & Procedures Course Curriculum / Syllabus LTF Activity: Interval Notation (Precal) 2 Pre-Assessment 3&4 1.2 Functions and Their Properties 5 LTF Activity: - Describing Graphs (Precalculus) 6 1.3 Twelve Basic Functions LTF Activity: Characteristics of Functions (Algebra 2) 7 8&9 1.3 Twelve Basic Functions (cont.) 1.6 Graphical Transformations Review of Basic Graphs and Transformations PreAP Pre-Calculus Pacing Guide Revised June 2012
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Sine‚ Cosine‚ and Tangent Functions Essential Questions: What is a function? How is the sine definition different from the sine function? Cosine? Tangent? From the graph of these functions‚ list some properties that describe them? Rebecca Adcock‚ a former student of EMAT 6690 at The University of Georgia‚ and I agree that the concept of the Sine‚ Cosine Functions will occur at lesson 6 of a beginning trigonometry unit. I praise her and her work because I want to use her thoughts on this particular
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CIRCULAR FUNCTIONS AND TRIGONOMETRY CONTENTS -Angles and Their Measures -Degrees and Radians -Angles in Standard Position and Coterminal Angles -Angles in a Quadrant -The Unit Circle -Coordinates of Points on the Unit Circle -The Sine and Cosine Function -Values of Sine and Cosine Functions -Graphs of Sine and Cosine Functions -The Tangent Function -Graph of Tangent Function -Trigonometric Identities -Sum and Difference of Formulas for Sine and Cosine -Trigonometric Functions of an
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PROPERTIES OF SINE AND COSINE FUNCTIONS: 1. The sine and cosine functions are both periodic with period 2π. 2. The sine function is odd function since it’s graph is symmetric with respect to the origin‚ while the cosine function is an even function since it’s graph is symmetric with respect to y axis. 3. The sine functions: a. Increasing in the intervals[0‚ π/2]and [3π/2‚ 2π]; and b. Decreasing in the interval [π/2‚ 3π/2]‚over a period of 2 π. 4. The cosine function is: a. Increasing in the interval
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trigonometric functions: sin (x)‚ cos (x)‚ tan(x)‚ cot (x)‚ sec (x) and csc (x) include the domain‚ range‚ period‚ asymptotes and amplitudes. The domain of a cosine and sine function is all real numbers and the range is -1 to 1. The period is 2π‚ and the amplitude is 1. They have no asymptotes. The domain of tangent is all real numbers except for π2+kπ. The range is all real numbers and the period is π. Tan has no amplitude and has asymptotes when x= π2+kπ. The domain of a secant function is all real
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A.E._... ---- ‚._ FILE October 1991 cory A.E. Res. 91- 10 Measuring Hicksian Welfare Changes From Marshallian Demand Functions Jesus c. Dumagan and Timothy D. Mount Department of Agricultural Economics Cornell University Agricultural Experiment Station New York State College of Agriculture & Life Sciences A Statutory College of the State University Cornell University‚ Ithaca‚ NY 14853 AI It is the Policy of Cornell University actively to support equality of educational
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between students and the general public? (c) Suppose that The Roxy keeps its prices intact. What would be the demand for tickets? (d) Given your answer to (c)‚ do you believe the Roxy should change its prices‚ and if so should it raise prices or lower them? Explain your answer. (e) Is it a good idea for The Roxy to set prices such that there will be excess demand for seats? Why or why not? (f) Assume that in 1995‚ the prices that The Roxy charged‚ $6 for the general public
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markets under the name “Y‚” Good Y is an inferior good. a. How will the demand for good X change if consumer incomes increase? Since X is a normal good‚ an increase in income will lead to an increase in the demand for good X. b. How will the demand for good Y change if consumer incomes decrease? Since Y is an inferior good‚ a decrease in income will lead to an increase in the demand for good Y. c. How will the demand for good X change if the
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