Question

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

Answer 1

Again, a function is where for every x, there is only one value of y. If you look, for x of -2, there is y of 1 and -3. So removing one of them would work. The only one answer that works in (-2, 1)

Answer 2

(-2,1)

Explanation:

We know that for the given data points if each x values have a unique y value then only the relation is a function.

If a x value has more than one y values then it will not be a function.

In the given graph, we have below points

(-4,3), (-2,1), (-2,-3), (2,3) and (1,1)

We can see that each x value has a unique y value except -2.

The x value -2 has two y values 1 and -3, which violates the condition of function.

Therefore, if we remove either of these two points then the given relation would be a function.

Hence, we can conclude that on removing (-2,1) would make the graph a function of x.

Second option is correct.