(i) Which of the following correspondences can be called a function?(A) `f(x)=x^(3),{-1,0,1}to{0,1,2,3}` (B)`f(x)=+-sqrt(x),{0,1,4}to{-2,-1,0,1,2}` (C)`f(x)=sqrt(x),{0,1,4}to{0,1,4}to{-2,-1,0,1,2}` (D) `f(x)=-sqrt(x),{0,1,4}to{-2,-1,0,1,2}` (ii) Which of the following pictorial diagrams represent the function

(i) Which of the following correspondences can be called a function?(A

1.	(i) Which of the following correspondences can be called a function?(A) `f(x)=x^(3),{-1,0,1}to{0,1,2,3}` (B)`f(x)=+-sqrt(x),{0,1,4}to{-2,-1,0,1,2}` (C)`f(x)=sqrt(x),{0,1,4}to{0,1,4}to{-2,-1,0,1,2}` (D) `f(x)=-sqrt(x),{0,1,4}to{-2,-1,0,1,2}` (ii) Which of the following pictorial diagrams represent the function
Answer» (i) `f(x)` in (C) and (D) are functions as definition of function is satisfied. While in case of (A) the given relation is not a function, as `f(-1)!in` 2nd set. Hence definition of function is not satisfied. While in case of (B), the given relation is not a function as `f(1)=+-1` and `f(4)=+-2` i.e. element 1 as well as 4 in 1st set is related with two elements of 2nd set. Hence definition of function is not satisfied. (ii) B and D. In (A) one element of domain has no image, while in (C) one element of 1st set has two images in 2nd set