Question

The ordered pairs (1, 3), (2, 9), (3, 27), (4, 81), and (5, 243) represent a function. What is a rule that represents this function?

And The ordered pairs (1, 25), (2, 36), (3, 49), (4, 64), and (5, 81) represent a function. What is a rule that represents this function?
Thanks guys!

Answer 1

(x,y)
x=n
y=3(n_last)

Answer 2

Shouldnt it be more like y = x3 or y = 3x for the first one?

Answer 3

yes, the first one represents powers of 3\[(x,3^x)\]
the second one looks a little square to me.....

Answer 4

Is the second one y=x^5 maybe?

Answer 5

no, give me a list of perfect square from 1 to 9 ...

Answer 6

1^2 = 1
2^2 = 4
3^2 = 9
...

Answer 7

Ok? You want me to continue that or no?

Answer 8

continue it for the integers from 1 to 9; so from 1^2 to 9^2

Answer 9

Oh ok, you already did the first three, so the next would be:
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
and
9^2=81

Answer 10

now, notice that our outputs given are

5^2=25
6^2=36
7^2=49
8^2=64
9^2=81

now, when x=1, we need x to be 5
when x=2, we need x to be 6
when x=3, we need x to be 7

we need the x parts to be shifted by +4

do you see it?

Answer 11

I think I get ya, but whats an equasion for that? I understand the problem now though=) thanks

Answer 12

well

it would be nice if x^2 would get us where we need to me, but we discovered the x needs to be shifted by +4 in order to make a math sooo

y = (x+4)^2

Answer 13

soo many typos, sooo little time lol

Answer 14

Haha ok, I get it now...makes alot more sense=) and yes..thanks for your melp eben wif tybos=)

Answer 15

just to clarify ;)

it would be nice if x^2 would get us where we need to be, but
we discovered that x needs to be shifted by +4 in order to make a match ...

good luck

Answer 16

Thanks again amistre, I really do appreciate it=D