Answer:
f(x) = 4·sin(2/7x) +1
Step-by-step explanation:
The sinusoidal function y = a·sin(kx) +b will have cross its midline at (0, b), and a peak value of (x, y) = (π/(2k), a+b). We can use these facts to find the values of a, k, and b for the sinusoidal function.
__
midline
(0, b) = (0, 1) ⇒ b = 1
peak value
(7π/4, 5) = (π/(2k), a+1)
This gives rise to two equations:
7π/4 = π/(2k)
k = π/(2(7π/4)) = 2/7
and
a+1 = 5
a = 4
equation
Using the found values for the parameters of the function, we have ...
f(x) = 4·sin(2/7x) +1
