Find the period and amplitude of the function.=y−3sinπxGive the exact values, not decimal approximations.
Question
Find the period and amplitude of the function.=y−3sinπxGive the exact values, not decimal approximations.
Solution 1
No answer
Solution 2
The function given is y = -3sin(πx).
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Amplitude: The amplitude of a sine function is the absolute value of the coefficient of the sine term. In this case, the coefficient is -3. The absolute value of -3 is 3. So, the amplitude of the function is 3.
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Period: The period of a sine function is determined by the coefficient of x inside the sine function. The standard period of the sine function is 2π. If there is a coefficient of x inside the sine function, the period is given by 2π divided by that coefficient. In this case, the coefficient is π. So, the period of the function is 2π/π = 2.
So, the amplitude of the function is 3 and the period of the function is 2.
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