find the period and amplitude of the function. y = 4 sin(π/2 x) give the exact values, not decimal…
find the period and amplitude of the function. y = 4 sin(π/2 x) give the exact values, not decimal approximations period: amplitude:
Answer
Explanation:
Step1: Recall amplitude formula
For $y = A\sin(Bx)$, amplitude is $|A|$. Here $A = 4$, so amplitude is $|4|=4$.
Step2: Recall period formula
For $y=\sin(Bx)$, period $T=\frac{2\pi}{|B|}$. Here $B = \frac{\pi}{2}$, so $T=\frac{2\pi}{\left|\frac{\pi}{2}\right|}$.
Step3: Calculate the period
$T=\frac{2\pi}{\frac{\pi}{2}}=2\pi\times\frac{2}{\pi}=4$.
Answer:
Period: $4$ Amplitude: $4$