Answer: Exponential
Step-by-step explanation:
The given data may be represented as the table shown below.
x | 1 2 3 4 5
y | 4 16 64 256 1024
Consider the function

.
f(1) = 4¹ = 4
f(2) = 4² = 16
f(3) = 4³ = 64
f(4) = 4⁴ = 256
f(5) = 4⁵ = 1024
Therefore, the required function is

.
This is an exponential function.