The period of the function is 1/2.
So first we need to find the argument of the function. The relation between the period and argument of a sinusoidal function is given by:
Period * Argument = 2πx
So,
Argument = 2πx / Period = 4πx
This means, the correct answer is either option A or B.
The y-intercept is 3. This means at x = 0, the value of function is 3.
Checking first option:
f(0) = 7 sin(0) + 3 = 3
Checking second option:
f(0) = 7cos(0) + 3 = 10
This means, only option A has the y-intercept at 3.
Therefore, the option which satisfies the given conditions is option A.
So, the correct answer is option A
