Question

Which relation is NOT a function (a) { (1,-5) , (3,1), (-5,4), (4,-2) } (b) { (2,7), (3,7), (4,7), (5,8) } ( c) { (1,-5), ( -1,6), (1,5) , ( 6,-3) } (d){ (3,-2),(5,-6), (7,7), (8,8) }

Answer 1

option C is correct

Given

• (a) { (1,-5) , (3,1), (-5,4), (4,-2) } (b) { (2,7), (3,7), (4,7), (5,8) } ( c) { (1,-5), ( -1,6), (1,5) , ( 6,-3) } (d){ (3,-2),(5,-6), (7,7), (8,8) }

To find

• relation is NOT a function

Solution

we are provided with for relations and are asked to find which among the relation is not a function that is the relation which does not hold the property of a function

we know that for irritation to be considered as function each values in Domain should only have one value as their image.

using this property of a function to determine if the given relation is a function or not, we can easily reach to our conclusion as well as the answer.

In option A it can be seen that no values have multiple images does it is a function.

similarly for the options B,D also ,there are no multiple images for the values in Domain therefore they are also regarded as functions.

whereas for the option C, one has two images that is 5 and negative 5. Therefore, it is not a function.

option C is correct