Ответ:
4
Объяснение:
1 — неверно.
2 — неверно. Например,
3 — неверно.
4 — верно.
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Verified answer
Ответ:
4
Объяснение:
1 — неверно.![-1\leq \sin{x}\leq 1 \Leftrightarrow -3\leq -3\sin{x}\leq 3\Rightarrow y\in [-3; 3] -1\leq \sin{x}\leq 1 \Leftrightarrow -3\leq -3\sin{x}\leq 3\Rightarrow y\in [-3; 3]](https://tex.z-dn.net/?f=-1%5Cleq%20%5Csin%7Bx%7D%5Cleq%201%20%5CLeftrightarrow%20-3%5Cleq%20-3%5Csin%7Bx%7D%5Cleq%203%5CRightarrow%20y%5Cin%20%5B-3%3B%203%5D)
2 — неверно. Например,![f(\dfrac{\pi}{2})=-3 f(\dfrac{\pi}{2})=-3](https://tex.z-dn.net/?f=f%28%5Cdfrac%7B%5Cpi%7D%7B2%7D%29%3D-3%3C0%3Df%280%29)
3 — неверно.![f(0)=0, f(\pi)=0 f(0)=0, f(\pi)=0](https://tex.z-dn.net/?f=f%280%29%3D0%2C%20f%28%5Cpi%29%3D0)
4 — верно.![f(-\dfrac{\pi}{3})=-3\cdot (-\dfrac{\sqrt{3}}{2})=\dfrac{3\sqrt{3}}{2} f(-\dfrac{\pi}{3})=-3\cdot (-\dfrac{\sqrt{3}}{2})=\dfrac{3\sqrt{3}}{2}](https://tex.z-dn.net/?f=f%28-%5Cdfrac%7B%5Cpi%7D%7B3%7D%29%3D-3%5Ccdot%20%28-%5Cdfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%29%3D%5Cdfrac%7B3%5Csqrt%7B3%7D%7D%7B2%7D)