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notsponge [240]
3 years ago
13

For problems 1, 2, and 3, use the function g(x) = sin(6x) .

Mathematics
1 answer:
Fantom [35]3 years ago
6 0

Step-by-step explanation:

1. Amplitude = 1.  g(x) = 1 sin(6x).  The coefficient 1 is the amplitude.  The range of the function is -1 \le g(x) \le 1  or, in interval notation, [-1, 1]

2. The period is  \frac{2\pi}{6}=\frac{\pi}{3}.

x-intercepts (at the beginning, middle, and end of the period) 0,\,\frac{\pi}{6},\,\frac{\pi}{3}

Maximum (1/4 of way through period)  \left(\frac{\pi}{12},\,1 \right)

Minimum (3/4 of way through period)  \left( \frac{\pi}{4}, \, -1 \right)

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