jose grade 11 student
graph the exponential problem F(x)=3x
Hi Jose,Set up a table of values as you would for graphing other functions. For example
| x | F(x) |
|---|---|
| 1 | 31 = 3 | 2 | 32 = 9 | 3 | 33 = 27 |
For negative values of x can use the fact that a-b = 1/ab and extend the table to
| x | F(x) |
|---|---|
| 1 | 31 = 3 | 2 | 32 = 9 | 3 | 33 = 27 | -1 | 3-1 = 1/3 | -2 | 3-2 = 1/9 | -3 | 3-3 = 1/27 |
Also 30 = 1 so the final version of my table is
| x | F(x) |
|---|---|
| 1 | 31 = 3 | 2 | 32 = 9 | 3 | 33 = 27 | -1 | 3-1 = 1/3 | -2 | 3-2 = 1/9 | -3 | 3-3 = 1/27 | 0 | 30 = 1 |
Now plot the points in the coordinate plane.
Finally draw a smooth curve joining the points.
Cheers,Harley