Question

What is the rate of change between the interval of x=3pi/2 and x=2pi4/piPi/42/piPi/2

Answer 1

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:

$\frac{f(2 \pi )-f( \frac{3 \pi }{2}) }{2 \pi - \frac{3 \pi }{2} }$

Using the values in this formula, we get:

$\frac{3-1}{2 \pi - \frac{3 \pi }{2} } \\ \\ = \frac{2}{ \frac{ \pi }{2} } \\ \\ = \frac{4}{ \pi }$

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