Question

The ordered pairs (1, 16), (2, 25), (3, 36), (4, 49), and (5, 64) represent a function. What is a rule that represents this function?

Also, how do I know how to find the rules of functions?

Answer 1

I know this question is like a year old but here is the answer
y = (x+3)^2

Answer 2

The rule representing the function is
`f(x)=(x+3)^2`.

Explanation:

We are given,

The ordered pairs for the function are (1, 16), (2, 25), (3, 36), (4, 49), and (5, 64).

It is required to find the rule representing the function.

Now, we see that,

`16=(1+3)^2`

`25=(2+3)^2`

`36=(3+3)^2`

`49=(4+3)^2`

`64=(5+3)^2`

From the pattern,we get the function is
`f(x)=(x+3)^2`.

Hence, the rule representing the function is
`f(x)=(x+3)^2`.