question graph exactly one cycle of the function f(x)=cos(7x). identify the maximum, minimum, and period of…

question graph exactly one cycle of the function f(x)=cos(7x). identify the maximum, minimum, and period of the function maximum: 1 minimum: -1 period:

question graph exactly one cycle of the function f(x)=cos(7x). identify the maximum, minimum, and period of the function maximum: 1 minimum: -1 period:

Answer

Explanation:

Step1: Recall period formula

For the cosine - type function $y = A\cos(Bx - C)+D$, the period is given by $T=\frac{2\pi}{|B|}$. In the function $f(x)=\cos(7x)$, we have $B = 7$.

Step2: Calculate the period

Using the formula $T=\frac{2\pi}{|B|}$, substituting $B = 7$ into it, we get $T=\frac{2\pi}{7}$.

Answer:

$\frac{2\pi}{7}$