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:Let A={1,2,3}A=\{1,2,3\}A={1,2,3} and B={a,b}B=\{a, b\}B={a,b}. Assuming all relations from set AAA to set BBB are equally likely, what is the probability that a relation from AAA to BBB is also a function?Suppose that a real-valued function f(x)f(x)f(x) of real numbers satisfies f(x+xy)=f(x)+f(xyf(x + xy) = f(x) + f(xyf(x+xy)=f(x)+f(xy) for all real x,y,x, y,x,y, and that f(2020)=1f(2020) = 1f(2020)=1. Compute f(2021)f(2021)f(2021).If a function f(a)=max(a,0)f(a) = max (a, 0)f(a)=max(a,0) then the smallest integer value of xxx for which the equation f(x−3)+2f(x+1)=8f(x - 3) + 2f(x + 1) = 8f(x−3)+2f(x+1)=8 holds true is _______.