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Lesson 2- Modulus Function

Lesson 2- Modulus Function. Objectives : - What is the Modulus Function ? - Graphs of Modulus function - Solving inequalities involving modulus. What is it?. “The modulus of x”. “The absolute value of x”. Basically means the distance from 0.

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Lesson 2- Modulus Function

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  1. Lesson 2- Modulus Function Objectives : - What is the Modulus Function ? - Graphs of Modulus function - Solving inequalities involving modulus ML2 MH

  2. What is it? “The modulus of x” “The absolute value of x” Basically means the distance from 0 ALWAYS POSITIVE ML2 MH

  3. What is it? ML2 MH

  4. What is it? Evaluate this: ML2 MH

  5. What is it? Find the value of f(-3) in the following function: ML2 MH

  6. Graphs Copy and complete the following table: Now plot these values on a graph ML2 MH

  7. Graphs ML2 MH

  8. Graphs (2) Copy and complete the following table: Now plot these values on a graph ML2 MH

  9. Graphs (2) ML2 MH

  10. Inequalities • |f(x)| is the positive value of f(x) • |x | = x if x > 0 and |-x | = x if x < 0 • and so |-7| is 7 • Conversely |x|=3 means x is 3 or -3 • |x|≤3 means -3 ≤ x ≤ 3 ML2 MH

  11. Example 1. Solve Any other ways to solve this ?? ML2 MH

  12. Example 2. Solve • OR could ........

  13. Example 3. Solve Butx≥2so this is inconsistent as can be seen from the graph Or ML2 MH

  14. Important Note • Note: The solutions to modulus questions need to be checked in the initial equation, as there may be an extra solution which is not consistent with the initial equation and is WRONG! • This can also be shown by drawing a graph. • ►Exercises C3/C4 page 59 Ex 3F ML2 MH

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