1. **Stating the problem:**
We are given the function $y = 2 \sin x$ and need to analyze its graph characteristics and verify the truth of several statements about amplitude, maximum value, x-intercepts, minimum value, and period.
2. **Formula and rules:**
The general sine function is $y = A \sin(Bx + C) + D$ where:
- Amplitude = $|A|$
- Period = $\frac{2\pi}{|B|}$
- Maximum value = $D + |A|$
- Minimum value = $D - |A|$
- The sine function crosses the x-axis at multiples of $\pi$ when $C=0$ and $D=0$.
3. **Apply to $y = 2 \sin x$:**
- Amplitude $= |2| = 2$
- Period $= \frac{2\pi}{1} = 2\pi$
- Maximum value $= 0 + 2 = 2$
- Minimum value $= 0 - 2 = -2$
- X-intercepts occur at $x = k\pi$ for integer $k$, so at $0, \pm \pi, \pm 2\pi, ...$
4. **Check statements:**
- "Amplitudo sama dengan 2" (Amplitude is 2): True
- "Nilai maksimum 1" (Maximum value is 1): False, max is 2
- "Grafik memotong di titik (0,0)" (Graph crosses at (0,0)): True, since $\sin 0 = 0$
- "Memiliki nilai minimum -2" (Has minimum value -2): True
- "Memiliki periode 2\pi" (Has period $2\pi$): True
**Final answer:**
- Amplitude = 2 (True)
- Maximum = 1 (False, actual 2)
- Crosses (0,0) (True)
- Minimum = -2 (True)
- Period = $2\pi$ (True)
Sine Function 97Eec7
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