Answer:
To graph a function, it's helpful to start by finding a few points on the graph. One way to do this is to choose some values of x and evaluate the function g(x) at those values to get corresponding y-values. In this case, we can choose some values of x and use the function g(x) = 2*3^x to find the corresponding y-values.
So, let's choose x = -2, -1, 0, 1, and 2. When x = -2, we have:
g(-2) = 2*3^(-2) = 2/9
Similarly, we can find the values of g(x) for the other values of x:
When x = -1, g(x) = 23^(-1) = 2/3
When x = 0, g(x) = 23^(0) = 2
When x = 1, g(x) = 23^(1) = 6
When x = 2, g(x) = 23^(2) = 18
Now, we can plot these points on a graph. The x-values are -2, -1, 0, 1, and 2, and the corresponding y-values are 2/9, 2/3, 2, 6, and 18. We can label the x-axis with the values of x and the y-axis with the values of g(x).
Next, we can connect the points with a smooth curve to get the graph of the function g(x) = 2*3^x. The resulting graph should look like an exponential curve that increases rapidly as x increases.