To evaluate a function with a specific value in the domain you susbtitute in the equation of the function the independient variable (x) for the value in domain.
[tex]y=2\cdot3^x[/tex]
For x = -1 (a number n powered to a negative number (m) n^-m is equal to 1/n^m
[tex]y=2\cdot3^{-1}=2\cdot\frac{1}{3}=\frac{2}{3}\approx0.66[/tex]
For x=0 (any number powered to 0 is equal to 1)
[tex]y=2\cdot3^0=2\cdot1=2[/tex]
For x = 1
[tex]y=2\cdot3^1=2\cdot3=6[/tex]
For x = 2
[tex]y=2\cdot3^2=2\cdot9=18[/tex]Then, as you can see as the values of the domain increase, the values of the function increase
