Determine the amplitude and period of the following function without graphing.
y = 8sin(πx)
show your work, and fill in the blanks below with the answers
The amplitude of a sine function is the absolute value of the coefficient in front of the sine term. In this case, the coefficient is ?, so the amplitude is ?.
The period of a sine function is given by the formula 2π/b, where b is the coefficient in front of the x term. So, there is no coefficient in front of the x term, so I can say it is ?. So, the period is ? = ?.
The coefficient in front of the sine term is 8, so the amplitude is |8| = 8.
There is no coefficient in front of the x term (πx), so we can say it is 1. Therefore, the period is 2π/1 = 2π.