Final answer:
To sketch the graph of the function g(x) = 3e^x, create a table of values for x and calculate the corresponding y-values. Plot the points on a graph and connect them to get the shape of the graph.
Step-by-step explanation:
To sketch the graph of the function g(x) = 3eˣ, we can create a table of values for different x-values and calculate the corresponding y-values. Using a calculator, we can evaluate the function for various values of x. Here's an example of how to do it:
x | g(x)
-2 | 0.0498
-1 | 0.1484
0 | 0.4465
1 | 1.342
2 | 4.034
Once we have a few points, we can plot them on a graph and connect them to get the shape of the graph. Remember that the exponential function grows rapidly, so the graph will have a steep upward slope.