Answer:
f(x) = 2 cos[7π x] + 3
Explanation:
The general form of a cosine function with amplitude A, midline y=m, and period P is:
f(x) = A cos[(2π/P) x] + m
Using the given values, we can substitute A=2, m=3, and P=2/7 to get:
f(x) = 2 cos[(2π/(2/7)) x] + 3
Simplifying the expression inside the cosine function:
f(x) = 2 cos[7π x] + 3
This is a cosine function with an amplitude of 2, a midline of y=3, and a period of 2/7.