Question

Can you answer 3 please show a table graph and work

Answer 1

To solve the question, choose values for x to find its corresponding image y. Then, plot the points and connect them.

Step 01: Choosing x = -2.

Substituting x by -2 in the equation:

`\begin{gathered} y=2\cdot3^(-2) \\ y=2\cdot((1)/(3))^2 \\ y=2\cdot(1)/(9) \\ y=(2)/(9) \end{gathered}`

So, the first point is (-2, 2/9).

Step 02: Choosing x = -1.

Substituting x by -1 in the equation:

`\begin{gathered} y=2\cdot3^(-1) \\ y=2\cdot((1)/(3))^1 \\ y=2\cdot(1)/(3) \\ y=(2)/(3) \end{gathered}`

So, the second point is (-1, 2/3).

Step 03: Choosing x = 0.

Substituting x by 0 in the equation:

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

So, the third point is (0, 2).

Step 04: Choosing x = 1.

Substituting x by 1 in the equation:

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

So, the fourth point is (1, 6).

Step 05: Write the points in a table.

x y (x, y)

-2 2/9 (-2, 2/9)

-1 2/3 (-1, 2/3)

0 2 (0, 2)

1 6 (1, 6)

Step 06: Plot the points and connect them.

The figure below shows the points and the graph.

Done! Your question is solved!