Answer:
y = x⁵
Step-by-step explanation:
We have the following ordered pairs (x, y):
The function that represents the relationship between x and y is y = x⁵.
Let's see how it is applied in each case.
(1, 1)
When x = 1, y = 1⁵ = 1
(2, 32)
When x = 2, y = 2⁵ = 32
(3, 243)
When x = 3, y = 3⁵ = 243
(4, 1024)
When x = 4, y = 4⁵ = 1024
Let's use the ordered pair (1, 1) to prove that the other functions do not work.
y = 5x. When x = 1, y = 5 . 1 = 5 ≠ 1
y = 5ˣ. When x = 1, y = 5¹ = 5 ≠ 1
y = x + 5. When x = 1, y = 1 + 5 = 6 ≠ 1
