List of top Mathematics Questions on Relations and functions asked in AMUEEE

The set of zeros of $ f(x) = 0 $ is a non-empty set, when $ f(x) = 0 $ , when $ f(x) $ is equal to
Let A = { $ (x,y): y = e^{-x} $ } and B = { $ (x,y):y=-x $ }. Then the correct statement is :
Let $A = \{ 0,1,2 \}$, $B =\{ 4,2,0 \}$ and $ f,g $ : $ A \rightarrow B $ be the functions defined by $ f(x) = x^2-x $ and $ g(x) = 2|x-\frac{1}{2}|-1 $ Then,
Let $f = \{ (1,1),(2,4),(0,- 2),(-1,- 5) \}$ be a linear function from $ Z $ into $ Z $ . Then, $ f (x) $ is