SOLUTION: We are supposed to graph f(x)=3^x+1 So its supposed to be 3 to the x+1 power as the x+1 is small. I'm just having a hard time trying to do the graph...my mind does not think in

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: We are supposed to graph f(x)=3^x+1 So its supposed to be 3 to the x+1 power as the x+1 is small. I'm just having a hard time trying to do the graph...my mind does not think in       Log On


   



Question 617380: We are supposed to graph f(x)=3^x+1
So its supposed to be 3 to the x+1 power as the x+1 is small. I'm just having a hard time trying to do the graph...my mind does not think in logarithmic and exponential terms. If you are able to help, it would be greatly appreciated.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Plug in arbitrary values of x to generate corresponding values of y (note: y and f(x) are the same thing basically)

So when x = 0, for instance, y is 3^(0+1) = 3^1 = 3

So we have one point (0, 3)

When x = 1, y is 3^(1+1) = 3^2 = 9

giving us another point (2,9)

Do this for any set of x values. I'm going to use the x values that range from -2 to 2 to generate the table

x
y
-2 0.33333
-1 1
0 3
1 9
2 27


Now plot the points shown in the table above



Then draw a curve through them to graph f%28x%29+=+3%5E%28x%2B1%29



Note: because of our viewing window limitations, we don't see the point (2,27). To see this point, you would have to greatly distort the viewing window.