Question

Removing which point from the coordinate plane would make the graph a function of x ?

Answer 1

(-2,1)

Explanation:

Function: It is a mapping between two non- empty set A and B.

Each element in set A has a unique image in set B.

Two elements of A can not have same image.

We can see that

Image of -2=1

Image of -2=-3

It is not possible to make a function of x.

Therefore, if we remove a point (-2,1) or (-2,-3) from coordinate plane .Then, it would make the graph a function of x.

Hence,(-2,1) is correct answer in given options.

Answer: (-2,1)

Answer 2

B. (-2,1)

Explanation:

We know that,

A function is a relation having point (x,y) where each x is mapped to a unique value of y.

So, from the graph, we see that,

-2 is mapped to the points -3 and 1.

So, in order to make the relation a function, we must remove either (-2,-3) or (-2,1).

Thus, according to the options, we have,

Removing (-2,1) would make the graph a function.