1. Graph the function f(x) = (x + 3)3 by hand and describe the end behavior. (1 point) The Function is cubic so it ends in opposite directions‚ the left side will go down and the right side up since the first coefficient is positive. 2. Graph the function f(x) = –x4 – 4 by hand and describe the end behavior. (1 point) The function is quartic so the left and right end will continue in the same direction‚ the lead coefficient is negative so both sides will go down. 3. Graph the function f(x) =
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Running head: QUADRATIC FUNCTIONS 1 Real World Quadratic Functions Gail Frazier MAT 222 Week 4 Assignment Instructor: Simone Danielson March 6‚ 2014 Real World Quadratic Functions [no notes on this page] -1- QUADRATIC FUNCTIONS 2 Quadratic functions are perhaps the best example of how math concepts can be combined into a single problem. To solve these‚ rules for order of operations‚ solving equations‚ exponents‚ and radicals must be used. Because multiple variables
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Answers are hi-lighted yellow. Company A’s nationally advertised brand is Brand X. Contribution to profit with Brand X is $40 per case. Company A’s re-proportioned formula is sold under a private label Brand Y. Contribution to profit with Brand Y is $30 per case. Company A’s objective is to maximize the total contribution to profit. Three constraints limit the number of cases of Brand X and Brand Y that can be produced. Constraint 1: The available units of nutrient C (n) is 30. Constraint 2:
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KEY HONORS ALGEBRA 2 B 1. a. d. 2. a. d. a1 3‚ Semester Exam Review b. b. an 4 an1 an 3 4n 1 an 1 3 n 1 3n 2 c. 805‚306‚368 1‚073‚741‚823 a1 1 an an 1 3 c. 178 5370 3. 4624.577 cm3 4. 2805 seats 5. a. 6. a. 3 7. a. 81 b. 8. a. a 4b9 b. 1 3 17 3 7 b. 4 or 3 7 b. 4 1 9 x4 5 c. 24 5 c. x 2 or
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Foundations & Pre-Calculus Mathematics 10 – 7.4 7.4 – USING A SUBSTITUTION STRATEGY TO SOLVE A LINEAR SYSTEM Focus: Use the substitution of one variable to solve a linear system. In the previous two classes‚ we solved linear system by graphing. A major shortcoming of this method is that at times we will only get an approximate solution‚ even if graphing technology is used. We can use algebra to determine exact solutions to linear systems. One algebraic strategy is solving by substitution
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ATILIM UNIVERSITY DEPARTMENT OF MATHEMATICS Math 211 - Discrete Mathematics with Applications 2010-2011 Fall Semester Problem Set I Prepared by Mehmet TURAN O−‚ Ω−‚ Θ− Notations 1. Let f and g be real valued functions defined on the same set of nonnegative real numbers. (a) Prove that if g(x) is O(f (x))‚ then f (x) is Ω(g(x)). (b) Prove that if f (x) is O(g(x)) and c is any nonzero ral number‚ then cf (x) is O(cg(x)). (c) Prove that if f (x) is O(h(x)) and g(x) is O(k(x))‚ then f (x) + g(x) is
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MAT 117 Appendix F Chapter 11 Introductory and Intermediate Algebra‚ Third Edition‚ by Marvin L.Bittinger and Judith A.Beecher.Published by Addison Wesley. Copyright ©2007 by Pearson Education‚ Inc. Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First‚ save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. Show your work for full credit.
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Section 2.4 More on Slope 1 Section 2.4 More on Slope Parallel and Perpendicular Lines 2 Section 2.4 More on Slope y = 2x+7 3 Section 2.4 More on Slope Parallel Lines Find a line parallel to - x 6 y 8 and passing through (-2‚3). -x 6 y 8 Solve for y 6y x 8 1 4 1 y x Use the slope 6 3 6 1 y 3 ( x 2) Substitute into the point-slope form 6 1 1 y 3 x 6 3 1 1 y x 3 6 3 1 10 y x 6 3 4 Section 2.4 More on Slope Example Write the equation in slope-intercept form
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Algebra I Chapter 5 Study Guide Writing Linear Equations Name ________________ Due: Tuesday‚ January 17 (Exam week) 100 points Writing Linear Equations in a Variety of Forms Using given information about a __________‚ you can write an ________________of the line in _____________ different forms. Complete the chart: Form (Name) Equation • • Important information The slope of the line is ____. The __ - ___________ of the line is _____. The slope of the line is _____. The line
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EGR 315 Final Paper Joe Hyde There are 5 student learning outcomes covered in this semester. These leaning outcomes where the concentreation of time was spent in the semester and were deemed important by the powers that be. By grasping the concepets involved in these leaning outcomes they are what should be taken from this course and are to be applied in the workplace in the future. Not all of the topics can be defined in 10 pages. So the topics that follow are ones that I found importance in
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