Question

Check answer please.
The ordered pairs (1,3) (2,9) (3,27) (4,81) and (5,243) represent a function. What is a rule the represents this function?
answer y=3x?

Answer 1

Look at the second ordered pair. (2,9). Is the y value 3 times the x value?

Answer 2

no its not.

Answer 3

Then the rule cannot be y = 3x

Answer 4

but it would be x=y\[^{3}\]

Answer 5

???? x=y????

Answer 6

\[x=y ^{3}\]

Answer 7

Look at the y values:
\[3^1, 3^2, 3^3, 3^4, 3^5\]

Answer 8

Look at the x values:
\[1,2,3,4,5\]

Answer 9

ok I see but still don't understand

Answer 10

Look at the ordered pairs this way:
\[(1,3^1) (2,3^2) (3,3^3) (4,3^4) (5,3^5)\]

Answer 11

Now write y =

Answer 12

y=(2,3^3)

Answer 13

Do you notice that the x value of each ordered pair is the exponent of the 3?

Answer 14

That is a simple yes or no question.

Answer 15

yes

Answer 16

So if x is the exponent of the 3, why don't you write that
\[y=3^x\]

Answer 17

ohhhh duh now I see!