SOLUTION: I need to graph f(x)=6^x. What do I need to know or do?

Algebra ->  Graphs -> SOLUTION: I need to graph f(x)=6^x. What do I need to know or do?      Log On


   



Question 141044: I need to graph f(x)=6^x. What do I need to know or do?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
I'll assume you don't have a graphing calculator.
To plot by hand, you'll need to create a small table with enough points on it to allow you to 'see' the shape of the graph. Before we build that table, note that the function given f%28x%29=6%5Ex is exponential. Now setup a table of X|Y values. We'll put 7 X values in the table. If the shape of the plot is not evident from the values, you can always add more.
Now, solve the function for each X value.
6%5E%28-3%29 = 1%2F216 = 0.0046
6%5E%28-2%29 = 1%2F36 = 0.0277 and so on
X Y
-3 0.0046
-2 0.0277
-1 0.1666
0 1
1 6
2 36
3 216
Now, plot those points (-3, 0.0046), (-2, 0.0277), (-1, 0.1666) , (0,1) etc
Then draw in a smooth curve that includes the points.