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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1. A line passes through the points (–3‚ –3) and (–1‚ 3). What is the slope of the line that passes through the two points? Hint X -3 -1/3 3 1/3 2. A line passes through the points (3‚ –4) and (7‚ 12). What is the y-intercept of the line? Hint X (0‚ 4) (4‚ 0) (0‚ –16) (–16‚ 0) 3. Consider the following system of equations. y = 8x - 8 y - 8x = 7 What can you conclude about the system of equations? Hint X The system of equations is inconsistent. The system
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Employer Benefits: 1. Expense Reduction Outsourcing one or more departments can help a company save money (Noe et al.‚ 2010). Often the firms that are being outsourced to are more equipped to deal with the activities that are being outsourced. They may be able to combine certain actions in order to reduce costs. The outsourcing firms can minimize costs by providing experts in the outsourced field. (Elmuti‚ 2003; Petraco‚ 2008). 2. Conserves Management Time and Effort The outsourcing firm will
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COMPUTER APPLICATIONS (86) The Aim: 1. To empower students by enabling them to build their own applications. 2. To introduce students to some effective tools to enable them to enhance their knowledge‚ broaden horizons‚ foster creativity‚ improve the quality of work and increase efficiency. 3. To enable students to learn to use the World Wide Web in order to gather knowledge and communicate with students and the academic community all over the world. 4. To enable students to learn to process words
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Quadratic Equations ax2 + bx + c = 0 Examples of Quadratic equations 1. x2 +2x – 8 = 0 2. x2 – 10x + 25 = 0 3. 3x2 + x - 2 = 0 Quadratic Formula If [pic] a x2 + b x + c = 0‚ then [pic] Finding the zeros of the quadratic functions - The zeros of a function are the input values which result in an output value of zero. One way of solving quadratic equations is using factoring Examples are the following: 1) x2 + 5x + 6 = 0 Set this equal to zero:
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Tutorial 1: Review of Basic Concepts 1. Let[pic]. List the elements of A that belong to the given set. i. Nature numbers ii. Integers iii. Rational numbers 2. Let set M =[pic]. List the elements of M that belong to the given set. i. Whole numbers ii. Integers iii. Rational numbers 3. Multiply out the brackets: a) 7(x + 2y) – 2(3y – 5x) (b) 2x2 + y – z2 – 2(3x2 + 2y – z) (c) (2x – 5)(5 + 2x) (d) (9y - 8)(3y - 3) 4. Evaluate the following without
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Now it is your turn to plan the trajectories required to launch a spacecraft through a specific route in space. The launch area is identified on the map below. Select three points for your spacecraft to travel through and label them Point A‚ Point B‚ and Point C. A coordinate plane is shown with a point at 1‚ 2 labeled‚ Launch Area. Log the coordinates of the specific points in space to which your spacecraft will travel. Please remember to include the graph of your points and the lines connecting
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could be used in an accounting profession is combining like terms. Like terms are terms that have identical variables and exponents. Like terms must have exactly the same letter parts. Using like terms may not be exactly the same in accounting as in algebra‚ but it is the same concept. You can only add things to the same accounts; you cannot add a cash total balance to an insurance expense account. An example of combining like terms in accounting is having $600 spent on rent‚ $350 spent on supplies‚
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following relational database: employee(employee-name‚ street‚ city) works(employee-name‚ company-name‚ salary) company(company-name‚ city) manages(employee-name‚ manager-name) For each of the following queries‚ give an expression in relational algebra‚ tuple relational calculus‚ and domain relational calculus: a. Find the names of all employees who work for First Bank Corporation. b. Find the names and cities of residence of all employees who work for First Bank Corporation. c. Find
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On the side of his house‚ a man is going to build two enclosures. One enclosure for a garden and another enclosure to keep his dogs in so the dogs aren’t roaming around. It is illegal to have any dogs roaming around. He bought 180ft of fence to use and one side is already existing. Refer to the picture on the next page. Since there are three short sides and one long side‚ to set up the perimeter‚ the short sides will be x and the long side will be y. So the equation is 3x + y = 180. The 180 comes
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