Answer:

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

Step-by-step 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.