Question

The ordered pairs (1, 25), (2, 36), (3, 49), (4, 64), and (5, 81) represent a fixnction. what is a rule that represents this function? (j point)

Answer 1

Answer:  ${R:x \rightarrow y : (x, (x+4)^{2})}$

Explanation:

ordered pair is the term we use in relation of the two variables

Here we can clearly see that second  term in the bracket is square of 4 more than the first term.

Every function is a relation but not every relation is a function.

the two terms inside a bracket of ordered pair are somehow related.

Answer 2

By inspection we can see that (1, 25), (2, 36), (3, 49), (4, 64), and (5, 81)

$(1,\ 5^2),\ (2,\ 6^2),\ (3,\ 7^2),\ (4,\ 8^2),\ and\ (5,\ 9^2) \\ \\ =(1,\ (1+4)^2),\ (2,\ (2+4)^2),\ (3,\ (3+4)^2),\ (4,\ (4+4)^2),\ \\ and\ (5,\ (5+4)^2)$

Therefore, the rule that represents this function is $y=(x+4)^2$.