IPMAT Indore 2022Algebra > Easy{1}\{1\}{1}{1,−1}\{1,-1\}{1,−1}{1,0}\{1,0\}{1,0}{1,0,−1}\{1,0,-1\}{1,0,−1}✅ Correct Option: 2Related questions:A real-valued function fff satisfies the relation f(x)f(y)=f(2xy+3)+3f(x+y)−3f(y)+6yf(x)f(y) = f(2xy + 3) + 3f(x + y) - 3f(y) + 6yf(x)f(y)=f(2xy+3)+3f(x+y)−3f(y)+6y, for all real numbers xxx and yyy, then the value of f(8)f(8)f(8) isThe function f(x)=x3−5x2−8x3f(x) = \dfrac{x^3 - 5x^2 - 8x}{3}f(x)=3x3−5x2−8x isIf f(1)=1f(1) = 1f(1)=1 and f(n)=3n−f(n−1)f(n) = 3n - f(n - 1)f(n)=3n−f(n−1) for all integers n>1n > 1n>1 , then the value of f(2023)f(2023)f(2023) is