Recall that a function f(x) is an exponential function if it is as follows:
[tex]f(x)=ab^x\text{.}[/tex]
Notice that:
[tex]\begin{gathered} 2=2\cdot1.3^0, \\ 2.6=2\cdot1.3^1, \\ 3.38=2\cdot1.3^2, \\ 4.394=2\cdot1.3^3, \\ 5.7122=2\cdot1.3^4, \\ 7.42586=2\cdot1.3^5\text{.} \end{gathered}[/tex]
Therefore, the function described by the given table is:
[tex]f(x)=2\cdot1.3^x\text{.}[/tex]
Therefore the given relationship represents an exponential relation.
Answer: The relation between x and y is exponential.
