Which one of the following relations defined from A = {0,1,2} to B = {a, b,c, d} is a function? Select one:
{0, a),(1,5),(1,c),(2,d)}
{(0, a),(1,6)
{(0,0),(0,5),(2,c),(3,d)}
{0, a),(1,0),(2,c)
{(0,0),(1,5),(2,C),(1,0)}

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.