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Functia Putere

Functia Putere. Musat Marian Gruden Catalin Nastase Marius Cojanu Dragos Sofian Cristian. Notiunea de Functie . Definitie.

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Functia Putere

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  1. Functia Putere Musat Marian GrudenCatalin Nastase Marius CojanuDragos Sofian Cristian

  2. Notiunea de Functie. Definitie • Fie A si B doua multiminevide.Definim o functie pe multimea A cu valori in multimea B daca printr-un procedeu oarecare facem ca fiecarui element xA sa-i corespunda un singur element yB. • O functie este definita de 3 elemente: • A=domeniu de definitie • B=codomeniul • Legea f care leaga cele doua multimi

  3. Graficul functiei putere cu exponent impar f:RR, f(x)=xn, nN, n impar

  4. Proprietati • Intersectia cu axele:O(0,0) • Paritatea:(-,0) impara, (0,+)para • Simetrica fata de origine • Concava pe (-,0), convexa pe (+,0) • Monotonia: (-,0) crescatoare (0,+) crescatoare • Pe (-,o) negativa, pe (0,+) pozitiva • Este injectiva, surjectiva, bijectiva

  5. Functiaputere cu exponent par f:RR, f(x)=xn, nN, n par

  6. Proprietati • Intersectia cu axele: O(0,0) • Paritate: (0,+) • Simetrica fata de axa Oy • Convexa pe R • Monotonie: (-,0) descrescatoare (0,+) crescatoare • Strict pozitiva • Nu este injectiva, surjectiva, bijectiva

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