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1. Narišimo funkcijo \( f(x)=2 \sin \left(3 x-\frac{3 \pi}{1}\right)-1 \) in

Ask by Bowen Cross. in Slovenia
Mar 11,2025

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To nariši funkcijo \( f(x) = 2 \sin \left(3x - \frac{3\pi}{1}\right) - 1 \), izvedi naslednje korake: 1. **Amplituda**: 2 (funkcija se giblje med -1 in 1). 2. **Perioda**: \( \frac{2\pi}{3} \). 3. **Fazni premik**: \( \pi \) v desno. 4. **Vertikalni premik**: Navzdol za 1 enoto. Uporabite grafično opremo, kot Python z Matplotlib, za risanje funkcije v intervalu od \( -2\pi \) do \( 2\pi \).

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Že na začetku se igrajmo z grafom funkcije \( f(x) = 2 \sin \left(3x - 3\pi\right) - 1 \)! Ta funkcija predstavlja sinusno valovanje, ki je raztegnjeno za faktor 2 in premaknjeno za 1 enoto navzdol. Ampak, pozor: perioda vaše sinusoide je \( \frac{2\pi}{3} \), kar pomeni, da se bo valovanje ponavljalo veliko hitreje, kot smo navajeni pri osnovni sinusu! Da bi slikovito predstavili funkcijo, vam priporočam, da se igramo tudi z vrednostmi - izberite nekaj vrednosti \( x \), na primer -1, 0, in 1, ter izračunajte \( f(x) \). Tako boste videli, kako funkcija poteka, in najboljše doživeli, kako sinusna funkcija "pleše" po grafu!

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