Linear Function :(Module): Sharmaine N. Sayao Mathematics IV-A Mrs. Imelda Sayao 1.1 Definition of a Linear Function A linear function is a function whose graph is a straight line. The equation of a linear function of x can be written in the form f(x) = mx + b or a linear equation y = mx + b where m is the slope and b is the y-intercept. The equation in the form Ax + By = C where A‚ B and C are real numbers is referred to as the general form of a linear equation. We
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Competencies | Teaching Strategy | Values | List of Activities | Materials | Evaluation | References | First Quarter | -Define functions and give examples that depict functions-Differentiate a function and a relation-Express functional relationship in terms of symbols y=f(x)-Evaluate a function using the value of x. | Chapter 1Functions and GraphsFunctions and Function Notations | The equation y=f(x) is commonly used to denote functional relationship between two variables x and y. | DefiningDifferentiatingEvaluating
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Methodology Information Phase Function Analysis Phase Creative Phase Evaluation and Development Phases Implementation and Follow-up Phases Lecture_5 & 6 by Sbasu 1 31/03/08 VM Notes (draft) Chapter 4: Value Management Methodology 1. Confirm Study objectives Information Phase 2. Confirm scope Information Phase 3. Build knowledge and understanding of the entity and its context elements of value) and establish success criteria Information Phase‚ Function Analysis Phase 1. Generate multiple
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sum is finite. Definition. A Fourier polynomial is an expression of the form [pic] which may rewritten as [pic] The constants a0‚ ai and bi‚ [pic]‚ are called the coefficients of Fn(x). The Fourier polynomials are [pic]-periodic functions. Using the trigonometric identities [pic] we can easily prove the integral formulas (1) for [pic]‚ we have [pic] (2) for m et n‚ we have [pic] (3) for [pic]‚ we have [pic]
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All Four‚ One - Linear Functions In the last activity‚ we talked about how situations‚ rules‚ x-y tables‚ and graphs all relate to each other and connect. Now‚ we’ll look at how situations‚ rules‚ x-y tables‚ and graphs relate and connect to linear functions. A linear function is a function that‚ if the points from the function were to be put on a graph and connected‚ it would form a straight line. They are used to show a constant rate of change between two variables. A very simple example
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The company uses the Taguchi Quality Loss Function to estimate quality costs. Suppose that a sample of 4 units was taken‚ and the rod measurements were: 31.6‚ 31.8‚ 31.1‚ and 32.0 mm.‚ respectively. a. Bob believes that the Taguchi Quality Loss function is an appropriate measure for quality costs. What is the Taguchi Quality Cost of that sample of 4 units? b. Jerry likes the Taguchi Quality Loss function‚ but he believes that a linear function would better represent the cost of quality
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Civic travels in a straight line along a road. It’s distance x from a stop sign is given as a function of time t by the equation‚ where and. Calculate the velocity of the car for each of the time given: (a) t = 2.00s; (b) t = 4.00s; (c) What will be the time when the acceleration is equal to zero? Solution: By getting the derivative of the distance as a function of time we can get the velocity as a function of time. Substitute the values of α and β a) Given
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Date Composition and Inverse This week assignment was to understand and solve for composition and inversion. With the given problems and functions I will demonstrate how to compute a problem using composition. Then finally I will demonstrate how to solve a function using inversion. I will define the following functions to solve the problem. f(x)+2x+5 g(x)=x^2-3 h(x)=7-x ______ 3 The first step is to compute the required problem
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single quotes | | | | parenthesis | | | | brackets | | Instructor Explanation: | Week 2 Lecture | | | | Points Received: | 0 of 3 | | Comments: | | | | 3. | Question : | (TCO 2) Which of the following functions would you use to extract the from your records in the database? | | | Student Answer: | | Datepart | | | | Datediff | | | | Dateout | | | | Dateyear | | Instructor Explanation: | Week 2 Lecture | | | |
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graphing calculator is required for these problems. t (minutes) 0 4 9 15 20 W t (degrees Fahrenheit) 55.0 57.1 61.8 67.9 71.0 1. The temperature of water in a tub at time t is modeled by a strictly increasing‚ twice-differentiable function W‚ where W t is measured in degrees Fahrenheit and t is measured in minutes. At time t 0‚ the temperature of the water is 55F.
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