Let f:[0,1]→[0,1] be the function defined by f(x)=x³/3−x²+(5/9)x+17/36. Consider the square region S=[0,1]×[0,1]. Let G={(x,y)∈S:y>f(x)} be called the green region and R={(x,y)∈S:y<f(x)} be called the red region. Let Lₕ={(x,h)∈S:x∈[0,1]} be the horizontal line drawn at a height h∈[0,1]. Then which of the following statements is(are) true?