A Fixed Point of F Is a Value of X $\approx$

Multiple Choice

A fixed point of f is a value of x that satisfies the equation f(x) = x; it corresponds to a point at which the graph of f intersects the line y = x. Find all the fixed points of the function. Use preliminary analysis and graphing to determine good initial approximations. Round approximations to six decimal places.
-f(x) = 3 sin x on [0, 2π]

A) x = 0 and x $\approx$ 2.278863
B) x = 0 and x $\approx$ 2.389974
C) x = 0 and x $\approx$ 2.167752
D) x = 0 and x $\approx$ 1.756641