Question

The ordered pairs (1, 1) , (2, 16) , (3, 81) , (4, 256) , and ( 5, 625) represent a function. What is a rule that represents this function?

A) y = 4^x
B) y = 4x
C) y = x^4
D) y = x + 4

Answer 1

c

Explanation:

Answer 2

C

Explanation:

Note that each of the y- coordinates is the x- coordinate raised to the power of 4.

(1, 1) → y =
`1^(4)` = 1

(2, 16) → y =
`2^(4)` = 16

(3, 81) → y =
`3^(4)` = 81

(4, 256) → y =
`4^(4)` = 256

(5, 625) → y =
`5^(4)` = 625

Thus the rule is y =
`x^(4)` → C