Piecewise function word problems examples
[DOC File]Integrated 3 - Mr. Jones' Help Desk
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Piecewise Practice. Do the following examples together in class: Graph the following piecewise function: Give the piecewise function for the following graph: 2x if 0 < x < 2. f(x)= 4 if 2< x
[DOC File]Worksheet Piecewise Functions
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Worksheet Piecewise Functions Name: Algebra 2. Part I. Carefully graph each of the following. Identify whether or not he graph is a function. Then, evaluate the graph at any specified domain value. You may use your calculators to help you graph, but you must sketch it carefully on the grid! 1. ...
[DOCX File]Hamilton-Wenham Regional School District
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How do you solve real world problems using graphs and equations? Solving linear equations (IA): Model solving linear word problems (IA): Individual or group work: practice solving linear word problems (IA): pg. 38 #16-24 . Unit 1.3 (2.7): Piecewise Functions. A-REI 11. F-IF 7b. SMP: 4,5,6. What is a piecewise function? What is a step function?
[DOC File]Section 1 - Radford
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Piecewise functions are functions that have different output formulas for different parts of the domain. Example 8: Given the piecewise function . a. Find. b. Sketch the graph. Solution: Note: Not all equations represent that of a function. Vertical Line Test: a graph is that of a function if no vertical line touches the graph more than once ...
[DOC File]GRE Math Review 2 ALGEBRA - ETS Home
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Translating verbal descriptions into algebraic expressions is an essential initial step in solving word problems. Three examples of verbal descriptions and their translations are given below. ... Every nonpositive number is an x intercept, and the y intercept is 0. The function is equal to the following piecewise defined function. f of, x = 2x ...
[DOC File]Piecewise Functions - Missouri State University
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For problems 15-17, give the piecewise function that each graph represents. 15. 16. 17. For problems 18-21, write a piecewise function that describes each situation. 18. For a cellular phone billing plan, $50 per month buys 400 minutes or less. Additional time costs $0.30 per minute. Let the monthly cost C(x) be a function of the time x. 19.
[DOC File]CHAPTER 1 FIRST-ORDER DIFFERENTIAL EQUATIONS
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2. Definition 13.4: Piecewise smooth function. f is piecewise smooth on [a, b] if f and are piecewise continuous on [a, b]. 3. Theorem 13.1: Convergence of Fourier series. Let f is piecewise smooth on . Then for , the Fourier series of f on converge to. 4. Convergence at the endpoints. 5. Definition 13.5: Right derivative . 6. Definition 13.6 ...
[DOC File]Worksheet: Piecewise Functions
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Piecewise Functions. Evaluate the function for the given value of x. Match the piecewise function with its graph. Graph the function. 19. 20.
[DOC File]Worksheet Piecewise Functions
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Define your own piecewise function involving a real life situation on a notecard. Explain your situation in words similar to the examples on the first reference page on the list (labeled #1) on one side of the card then define the piecewise function (in math) on the back.
[DOC File]Section 3: Cubic Functions - UCSB MRSEC
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See “Cubic Function Quest: Discovering the Finest Form for Graphing” * * * Teacher notes for 3.1 Practice. This practice further works students’ skills with graphing and increases familiarity with function notation. The first 9 problems are graphing cubic functions and employ variations on all three types of transformations.
[DOC File]Name:
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Piecewise functions –define piecewise function and show at least one example of a piecewise function. Identify the domain and range of your function. 4. QUADRATIC FUNCTIONS. Standard form of the quadratic equation – write the standard form of a quadratic equation, explain the quadratic, linear, and constant term and their effect on the graph
[DOC File]Z-Score Practice Worksheet
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A normal distribution of scores has a standard deviation of 10. Find the z-scores corresponding to each of the following values: A score that is 20 points above the mean.
[DOC File]Instructor's Guide for Math 110 Textbook: College Algebra ...
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Introduce the concept of a function defined piecewise by constructing a practical example, for instance: A car rental agency charges $40 a day for a car, with 100 free miles. Any mileage over 100 miles is charged at the rate of $0.20 per mile. Express the cost of the renting the car for one day as a function of the number of miles driven.
[DOC File]Synthesis Write
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h(x) = g(x+4) – 5 and write its piecewise function. (8) Using the graph of g(x) to the right, draw the . graph of t(x) = ½g(4x) and write its piecewise function. (9) Brett is on the ground outside the stadium and throws a . baseball to John at the top of the stadium 36 feet above the . ground. Brett throws with an initial velocity of 60 feet ...
[DOC File]Chapter 1: Functions - OpenTextBookStore
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Since this requires two different processes or pieces, the absolute value function is often called the most basic piecewise defined function. Piecewise Function. A piecewise function is a function in which the formula used depends upon the domain the input lies in. We notate this idea like: Example 5
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