determine the amplitude and period of the following function without graphing.\ny = 9 cos(πx)\nfor the…

determine the amplitude and period of the following function without graphing.\ny = 9 cos(πx)\nfor the function given, the amplitude is □.\n(use integers or fractions for any numbers in the expression.)\nfor the function given, the period is t = □.\n(simplify your answer. type an exact answer, using π as needed. use integers or fracti

determine the amplitude and period of the following function without graphing.\ny = 9 cos(πx)\nfor the function given, the amplitude is □.\n(use integers or fractions for any numbers in the expression.)\nfor the function given, the period is t = □.\n(simplify your answer. type an exact answer, using π as needed. use integers or fracti

Answer

Explanation:

Step1: Recall the formula for amplitude

For a function (y = A\cos(Bx)), the amplitude is (|A|). In the function (y = 9\cos(\pi x)), (A = 9). So the amplitude is (|9|=9).

Step2: Recall the formula for period

For a function (y = A\cos(Bx)), the period (T=\frac{2\pi}{|B|}). In the function (y = 9\cos(\pi x)), (B=\pi). Then (T=\frac{2\pi}{|\pi|}). Since (|\pi|=\pi), we have (T = 2).

Answer:

The amplitude is (9). The period (T = 2).