Answer: the values of f(x) for x = 1, 2, 3 are 6, 18, and 54 respectively. The third table (option C) is the right choice.
Explanations:
The expression is given as:
[tex]f(x)\text{ = 2 }\times3^x[/tex]
The values of x given in the tables are: x = 1, x = 2, x = 3
Let us find the values of f(x) for each value of x and see which of the tables is correct.
[tex]\begin{gathered} \text{For x = 1} \\ f(1)\text{ = 2 }\times3^1 \\ f(1)\text{ = 2 }\times3 \\ f(1)\text{ = 6} \end{gathered}[/tex][tex]\begin{gathered} \text{For x = 2} \\ f(2)=2\text{ }\times3^2 \\ f(2)\text{ = 2 }\times\text{ 9} \\ f(2)\text{ = 18} \end{gathered}[/tex][tex]\begin{gathered} \text{for x = 3} \\ f(3)\text{ = 2 }\times3^3 \\ f(3)\text{ = 2}\times27 \\ f(3)\text{ = 54} \end{gathered}[/tex]
Therefore, the values of f(x) for x = 1, 2, 3 are 6, 18, and 54 respectively. The third table (option C) is the right choice.
