The value of the function at 3π/2 is 1.
The value of the function at 2π is 3.
If f(x) represents this function, the rate of change from x = 3π/2 to x = 2π can be expressed as:
[tex] \frac{f(2 \pi )-f( \frac{3 \pi }{2}) }{2 \pi - \frac{3 \pi }{2} } [/tex]
Using the values in this formula, we get:
[tex] \frac{3-1}{2 \pi - \frac{3 \pi }{2} } \\ \\
= \frac{2}{ \frac{ \pi }{2} } \\ \\
= \frac{4}{ \pi } [/tex]
This means, the rate of change of the function from x = 3π/2 to x = 2π is 4/π. So option A gives the correct answer
