are inverse functions and q(−2) = 8, what is f (9) ? Your Answer: cannot be determined Correct Answer: cannot be determined Comment: If q and f are inverse functions and q(a) = b, then f (b) = a. However, since 9 is not the given domain value for q, the answer cannot be determined. Question 2 Question Grade: 1.0 Weighted Grade: (1/1.0) Choose any false statements regarding the graph. Select all that apply. Choice Selected Points The graph is a function. Yes
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University of Connecticut Department of Mathematics Math 1131 Sample Exam 1 Spring 2014 Name: This sample exam is just a guide to prepare for the actual exam. Questions on the actual exam may or may not be of the same type, nature, or even points. Don’t prepare only by taking this sample exam. You also need to review your class notes, homework and quizzes on WebAssign, quizzes in discussion section, and worksheets. The exam will cover up through section 3.2 (product and quotient rule)
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Transformations a) Given the function f(x) = x2 complete the following table. Must show all work for full credit. Answer: x f(x) -2 4 -1 1 0 0 1 1 2 4 Show your work here: For x = -2, f(x) = (-2)2 = 4 For x = -1, f(x) = (-1)2 = 1 For x = 0, f(x) = (0)2 = 0 For x = 1, f(x) = (1)2 = 1 For x = 2, f(x) = (2)2 = 4 b) Using the table from part a, graph the function f(x) = x2. For a tutorial on creating graphs in Excel and inserting graphs of functions please see the Assignment List
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F is a decreasing function, what can say about F(-2) compared to F(2) Let f 9x0 = 16- x. Compruebe each of the following expressions, and interpret each as average rate of change. The most freakish change in temperature ever recorded was from –F to 45F between 7:30am and 7:32 am on january 22, 1943 at spearfish, South Dakota. What was the average rate of change of temperature for this time period? Table 1.13 shows the number of calories used per minute as a function of body weight for
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we are hoping if anything, That we’ll remember how to Get the roots Pre-chorus: Of the square root, polynomial, rational or absolute functions Chorus: Cause I know I was in trouble When Maam Dolino said ‘You’ll have a test tomorrow’ till she said ‘by pairs’ Oh - Oh - Oh Functions are hard Limits alright Rap: The limit of the function was our last topic It was hard, makes me feel sick But the limit theorems did their part Makes our solving, like eating tart Now I’m gonna
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and the number of redundant equations of this system. Further, determine the solution(s) if solutions exists. [10 marks] Question 2. Give formal definitions for the following: (a) a convex function, (b) a strictly con vex set, (c) a differentiable function. Further, give an example of a concave function that is not differentiable. [10 marks] Question 3. Find the solution of the following differential equation = 1 + 3 − 2 ˙ where (0) = 5. [10 marks] Question 4. Find the general
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Cobb–Douglas Production Functions 1 mathematical tricks • the derivative of αxβ with respect to x is αβxβ−1 • xα xβ = xα+β (for any α and β) • 1 xα = x−α • if m = nB , then n = m1/B 2 the production function A production function y = f (x1 , x2 ) is a Cobb–Douglas production function if it can be written in the form y = Axa xb 1 2 (1) where A, a and b are positive constants. So the partial derivatives of a Cobb–Douglas production function are : M P1 = M P2 = ∂y = aAxa−1
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blogspot.com ADDITIONAL MATHEMATICS MODULE 1 FUNCTIONS Organized by Jabatan Pelajaran Pulau Pinang 2006 http://mathsmozac.blogspot.com http://sahatmozac.blogspot.com CHAPTER 1 : FUNCTIONS Contents 1.1 Concept map Page 2 1.2 Determine domain , codomain , object, image and range of relation 3 1.3 Classifying the types of relations 3 2.1 Recognize functions as a special relation. 2.2 Expressing functions using function notation. 2.3 Determine domain , object , image
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Assignments: Functions Task 1. (KPS, MPS) i) With K=0, determine the function and sketch it on a suitable domain. Point A: (1, 4) Point B: (2, 2) Point C: (4, k) or (4, 0) Using the equation y = ax² + bx + c substitute the 3 points (x and y) into three equations to find the function. Point A: 1…………… 4 = 1x + 1x + 1c Point B: 2…………….2 = 4x + 2x + 1c Point C: 3…………….0 = 16x + 4x + 1c Using the simultaneous equation function on the graphics calculator, find the function of the three
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Thesis abstracts / 75 Writing a structured abstract for the thesis James Hartley suggests how to improve thesis abstracts (From Psychology Teaching Review, 2010, 16, 1, 98-100) Two books on writing abstracts have recently come to my attention. One, Creating Effective Conference Abstracts and Posters in Biomedicine: 500 tips for Success (Fraser, Fuller and Hutber, 2009) is a compendium of clear advice – a must book to have in your hand as you prepare a conference abstract or a poster
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