Question

Which of the following points lies on the graph of the function y = 2*3^x?a.(1,0)b.(2, 9)c.(3, 6)d.(0, 2)Please select the best answer from the choices provided

Answer 1

Given the function:

`y=2\cdot3^x`

It's required to select which one of the points provided in the choices belongs to the graph of the function.

Evaluate the function for the values of x = {1, 2, 3, 0}.

a. For x = 1:

`\begin{gathered} y=2\cdot3^1 \\ y=2\cdot3=6 \end{gathered}`

Point (1, 0) is incorrect. It should be (1, 6)

b. For x = 2:

`\begin{gathered} y=2\cdot3^2 \\ y=2\cdot9=18 \end{gathered}`

Point (2, 9) is incorrect. It should be (1, 18)

c. For x = 3:

`\begin{gathered} y=2\cdot3^3 \\ y=2\cdot27=54 \end{gathered}`

Point (3, 6) is incorrect. It should be (3, 54)

d. For x = 0:

`\begin{gathered} y=2\cdot3^0 \\ y=2\cdot1=2 \end{gathered}`

Point (0, 2) is correct and belongs to the graph

Answer: d. (0, 2)