Calculating Absolute Value: FTC Method vs. Book Method vs. Calculator Method

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SUMMARY

The discussion centers on calculating the absolute value using three different methods: the FTC Method, Book Method, and Calculator Method. Participants reported discrepancies in results, with one user obtaining -27/2, while the book provided 53/2, and the calculator yielded 21/2. The key takeaway is that the absolute value function |x-4| equals x-4 only when x is greater than or equal to 4, necessitating a different approach for values of x less than 4.

PREREQUISITES
  • Understanding of absolute value functions
  • Familiarity with the Fundamental Theorem of Calculus (FTC)
  • Basic algebraic manipulation skills
  • Experience with using scientific calculators for mathematical operations
NEXT STEPS
  • Study the Fundamental Theorem of Calculus (FTC) in detail
  • Practice solving absolute value equations with varying conditions
  • Learn how to use a scientific calculator for complex calculations
  • Explore different methods of teaching absolute value concepts
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Students learning algebra, mathematics educators, and anyone seeking to understand the nuances of absolute value calculations.

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2png.2.php?z=100&eq=%5Cint_%7B-3%7D%5E%7B0%7D(-x-4)dx%20%20%20%2B%5Cint_%7B0%7D%5E%7B6%7D(x-4)dx.jpg


im getting -27/2
book is giving 53/2
calc is giving 21/2

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|x-4| is only equal to x-4 for x greater than or equal to 4. What is it if x<4?
 

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