determine the amplitude and period of the following function without graphing\n\n( y = 8 sin ( pi x )…

determine the amplitude and period of the following function without graphing\n\n( y = 8 sin ( pi x ) )\n\nfor the function given, the amplitude is\n(use integers or fractions for any numbers in the expression.)\n\nfor the function given, the period is ( t = )\n(simplify your answer. type an exact answer, using ( pi ) as needed. use integers or fractions for any numbers in the expressio

determine the amplitude and period of the following function without graphing\n\n( y = 8 sin ( pi x ) )\n\nfor the function given, the amplitude is\n(use integers or fractions for any numbers in the expression.)\n\nfor the function given, the period is ( t = )\n(simplify your answer. type an exact answer, using ( pi ) as needed. use integers or fractions for any numbers in the expressio

Answer

Explanation:

Step1: Recall the formula for amplitude

For a function (y = A\sin(Bx)), the amplitude is (|A|). For (y = 8\sin(\pi x)), (A = 8), so amplitude (=|8| = 8).

Step2: Recall the formula for period

For a function (y = A\sin(Bx)), the period (T=\frac{2\pi}{|B|}). For (y = 8\sin(\pi x)), (B=\pi), so (T=\frac{2\pi}{|\pi|}=2).

Answer:

The amplitude is (8). The period (T = 2).