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Spencer Bruce
Mathematics
22 September, 09:16
Which function's graph has a period of 2?
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Trey Ferguson
22 September, 09:18
0
Option 2. y = 3 cos πx is the answer.
Step-by-step explanation:
If the function is in the standard form of y = acos (bx+c) or y = asin (bx+c)
Then period of the given function will be = 2π/b
1) For y = cos (x - π/2)
Therefore period of the function will be = 2π/1 = 2π
2) For y = 3cos πx
Period = 2π/π = 2
Correct option.
3) y = 2 sin 3x
Period of the function = 2π/3
4). y = - 4sin 2x
Period of the function = 2π/2 = π
So option 2 is the answer.
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