How do you graph #y=3(10)^x# using a table of values?

Question

Savannah Anderson · Accepted Answer

Another way of thinking about it!
See instructions about how to construct the table

The table would look something like this: #underline(x color(white)(..........) |color(white)(.......) 1color(white)(........) 2color(white)(...........) 3color(white)(.............) 4)# #10^xcolor(white)(.......) |color(white)(.......) 10color(white)(.......) 100color(white)(.......) 1000color(white)(.......) 10000# #underline(3xx10^xcolor(white)(.) |color(white)(.......) 30color(white)(.......) 300color(white)(.......) 3000color(white)(.......) 30000)# #ycolor(white)(..........) |color(white)(.......) 30color(white)(.......) 300color(white)(.......) 3000color(white)(.......) 30000# You now plot the #y"-values against the "x"-values"# graph{3 * (10)^x [-10, 10, -5, 5]} Hopes this helps!

Kennedy Adams · Answer

undefined To graph the equation y = 3(10)^x using a table of values, we can choose a range of x-values and then plug them into the equation to find the corresponding y-values. Here's how you can do it:

| x  | y = 3(10)^x |
|----|-------------|
| -2 | 0.03        |
| -1 | 0.3         |
| 0  | 3           |
| 1  | 30          |
| 2  | 300         |

Plot these points on a graph, and then draw a smooth curve through them to represent the function y = 3(10)^x. Remember that as x increases, y grows exponentially due to the base 10 being raised to the power of x.