Question

A function is initially defined by the set of coordinate pairs ((-3,7), (1,5), (4,13)). Which coordinate pair below, if added to this set, prevents the set from representing a function?

1) (2,5) 2) (5,0) 3) (-1,8) 4) (1,4)

Answer 1

(1,4)

Explanation:

Given

`\{(-3,7), (1,5), (4,13)\}`

Required

Which pair makes the relation not a function?

A function is defined as:

`\{(x_1,y_1), (x_2,y_2), (x_3,y_3)..... (x_n,y_n)\}`

Where each x values (domain) are unique and different from one another.

In the given function, the x values (domain) are: -3, 1 and 4

To get a pair that makes the relation, not a function; we have to select from the given options, any option that has either of -3, 1 and 4 as its x values.

From the list of given options.

4) (1,4) has an x value of 1

Hence, the solution to this question is (1,4)