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ALGEBRA II HONORS/GIFTED @

Understand and apply piecewise functions through real-world scenarios, graphs, and evaluations. Dive deep into the concept to enhance your mathematical skills effectively.

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ALGEBRA II HONORS/GIFTED @

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  1. ALGEBRA II HONORS/GIFTED @ PIECEWISE FUNCTIONS

  2. PIECEWISE FUNCTION : is defined by two or more equations which apply to different parts of the domain. f(x) = 55 if x < 1 = 55 + 15(x – 1) if 1 < x < 13 1) A regular letter sent via the United States Postal Service (USPS) requires a stamp of 55¢ for the first ounce and 15¢ per ounce for the next 12 ounces. If x = # ounces of the letter and f(x) = cost for stamps in cents, write a piecewise function for this scenario and graph it.

  3. 2) Graph the function. ANSWER

  4. 3) Graph the function. ANSWER

  5. 4) Write a piece-wise function for the graph. To the left of x = 0, the graph is part of the line passing through (–2, 0) and (0, 2). An equation of this line is given by y = x + 2. To the right of and including x = 0, the graph is part of the line passing through (0, 0) and (2, 2). An equation of this line is given by y = x. A piecewise function for the graph is

  6. 5) Evaluate the function for the given value of x. a) f(-3) ANSWER : -11 b) f(0) ANSWER : 7 c) f(-2) ANSWER : -9 d) f(5) ANSWER : 2

  7. Is your mind in pieces? Try…. http://www.youtube.com/watch?v=JgyRbtxPLwk https://www.youtube.com/watch?v=qLzwPWEpmMg

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