Respuesta :

Answer:

The answer is "[tex]\bold{y=9^x}[/tex]"

Step-by-step explanation:

In the given question some information is missing that is table attachment. In this table there are many element is defined, which can be given as follows:

[tex]x = -1 \ \ \ \ y = 0.111\\x =1 \ \ \ \ \ \ y = 9\\x =2 \ \ \ \ \ \ y = 81\\x =4 \ \ \ \ \ \ y = 6,561\\ x =5 \ \ \ \ \ \ y = 59,049\\[/tex]

Now check the value:

[tex]y = x^9, \ x = -1, and \ y = (-1)^9 = -1 \ it \ is \ wrong.\\ y= 9x^2 \ gives \ value \ -9 \ that \ is\ wrong \ and \\\\ \ when \ \ x= 1 \\\\ y= 9^x \\ y= 9^1 \\y= 9 \ gives \ the \ correct \ value.[/tex]