State the period of the function. $$y = - 4 \sec \frac { \pi x } { 4 }$$
A) $\frac { \pi } { 4 }$
B) 8
C) 10
D) $8 \pi$
E) 14

Name: State the period of the function. \[y = - 4 \sec \frac { \pi x } { 4 }\] A) $\frac { \pi } { 4 }$ B) 8 C) 10 D) $8 \pi$ E) 14
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Question

State the period of the function. $$y = - 4 \sec \frac { \pi x } { 4 }$$ 
A) $\frac { \pi } { 4 }$
B) 8
C) 10
D) $8 \pi$
E) 14

Quizplus · Accepted Answer

The period of the secant function, $\sec(Bx)$, is given by $\frac{2\pi}{|B|}$. For the given function, $B = \frac{\pi}{4}$, so the period is $\frac{2\pi}{\pi/4} = 8$.

State the Period of the Function y=−4sec⁡πx4y = - 4 \sec \frac { \pi x } { 4 }y=−4sec4πx​

State the Period of the Function $y = - 4 \sec \frac { \pi x } { 4 }$