SlideServe
Télécharger Obtenir Pro
Menu
Accueil Pro
Préférences
ApparenceLight Aide et commentaires
© SlideServe · v2026

Section 2.3 Piecewise Defined Functions

easter avatar
easter
27 diapositives · 503 Views · Oct 13, 2014

Section 2.3 Piecewise Defined Functions. Piecewise Defined Functions- when a function uses different formulas on different parts of its domain. Piecewise Defined Functions- when a function uses different formulas on different parts of its domain. An example:.

Section 2.3 Piecewise Defined Functions - slide 1
01 / 27Section 2.3 Piecewise Defined Functions
1 / 17

Télécharger la présentation

Section 2.3 Piecewise Defined Functions
Une image / un lien ci-dessous est fourni (tel quel) pour télécharger la présentation

Politique de téléchargement : le contenu du site vous est fourni TEL QUEL pour votre information et votre usage personnel ; il ne peut être vendu, concédé sous licence ni partagé sur d’autres sites sans l’accord de son auteur.Le contenu vous est fourni TEL QUEL, pour votre information et votre usage personnel uniquement. Téléchargez la présentation en cliquant sur ce lien. Lors du téléchargement, si vous ne parvenez pas à télécharger une présentation, l’éditeur a peut-être supprimé le fichier de son serveur.Pendant le téléchargement, si vous ne parvenez pas à obtenir une présentation, le fichier a peut-être été supprimé par l’éditeur.

F I N

Plus de contenu associé

Transcription de la présentation

  1. Section 2.3 Piecewise Defined Functions

  2. Piecewise Defined Functions- when a function uses different formulas on different parts of its domain. Page 73

  3. Piecewise Defined Functions- when a function uses different formulas on different parts of its domain. An example: Page 73

  4. Here is a graph of this piecewise function: Page 73

  5. Piecewise Defined Functions- Another example: g(x) = x + 1 for x ≤ 2 and g(x) = 1 for x > 2 Let's graph this function: Page 73 Example 1

  6. g(x) = x + 1 for x ≤ 2 and g(x) = 1 for x > 2 Page 73

  7. A long-distance calling plan charges 99 cents for any call up to 20 minutes in length and 7 cents for each additional minute or part of a minute. a. Use bracket notation to write a formula for the cost, C, of a call as a function of its length t in minutes. b. Graph the function. c. State the domain and range of the function. Page 2 Example #2

  8. A long-distance calling plan charges 99 cents for any call up to 20 minutes in length and 7 cents for each additional minute or part of a minute. a. Use bracket notation to write a formula for the cost, C, of a call as a function of its length t in minutes. Page 74

  9. You can simplify this expression to get: Page 74

  10. But you lose the real meaning by doing so. Page 74

  11. A long-distance calling plan charges 99 cents for any call up to 20 minutes in length and 7 cents for each additional minute or part of a minute. b. Graph the function. Page 74

  12. A long-distance calling plan charges 99 cents for any call up to 20 minutes in length and 7 cents for each additional minute or part of a minute. b. Graph the function. Page 74

  13. A long-distance calling plan charges 99 cents for any call up to 20 minutes in length and 7 cents for each additional minute or part of a minute. c. State the domain and range of the function. Page 74

  14. A long-distance calling plan charges 99 cents for any call up to 20 minutes in length and 7 cents for each additional minute or part of a minute. c. State the domain and range of the function. Domain: t > 0 (call lengths ≤ 0 are silly) Page 74

  15. A long-distance calling plan charges 99 cents for any call up to 20 minutes in length and 7 cents for each additional minute or part of a minute. c. State the domain and range of the function. Domain: t > 0 (call lengths ≤ 0 are silly) Range? Page 74

  16. A long-distance calling plan charges 99 cents for any call up to 20 minutes in length and 7 cents for each additional minute or part of a minute. Range? We can see that the range is: C ≥ 99 Page 74

  17. The Absolute Value Function Page 76

  18. The Absolute Value Function (defined piecewise): Page 76

  19. Some examples: Page 76

  20. Some examples: Page 76

  21. Some examples: Page 76

  22. Some examples: Page 76

  23. Let's form a table and then graph the absolute value function: Page 76

  24. Page 76

  25. Page 76

  26. This completes Section 2.3 Page