The following table gives three different relations.

first, determine if each relation is a function by selecting the correct text in the table.

if the relation is not a function, select which ordered pair would need to change to make the relation a function.

First relation: It's a function. No order pair need to be changed.

Second relation: It's a function. No order pair need to be changed.

Third relation: It's not a function. The ordered pair (5,8) needs to be changed.

Step-by-step explanation:

A function may not have two y-values assigned to the same x-value.

Each x-element of the first relation has only one y-element associated with it. So we conclude that it's a function.

Each x-element of the second relation has only one y-element associated with it. So we conclude that it's a function.

The points (5,8) and (5,2) shows that there are two y-elements (y=8 and y=2) associated with the value x=5. So we conclude that it's not a function.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.