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Proprietăţi ale funcţiei arc tg: R → ( - π /2, π /2 )

Proprietăţi ale funcţiei arc tg: R → ( - π /2, π /2 ). Examinând graficul funcţiei “arctg” ,deducem c ă :. 1. Funcţia “arctg” este strict crescătoare pe R. 2. Funcţia “arctg” este concav ă pe [0 ,∞) şi convexă pe (-∞,0 ] 3. Dreapta y = π /2 este asimptot ă orizontală spre +∞

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Proprietăţi ale funcţiei arc tg: R → ( - π /2, π /2 )

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  1. Proprietăţiale funcţiei arctg: R→( -π/2,π/2 ) Examinând graficul funcţiei “arctg” ,deducem că : 1. Funcţia “arctg”este strict crescătoare pe R. 2. Funcţia “arctg”este concavă pe [0,∞) şi convexă pe (-∞,0] 3. Dreapta y =π/2este asimptotă orizontală spre +∞ Dreapta y =- π/2este asimptotă orizontală spre -∞ 4. Conform definiţiei unei funcţii inverse au loc: 5. Funcţia “arctg” este impară

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