We have the function
[tex]y=-(3)^x[/tex]
The y-intercept ocurrs at x=0, that is,
[tex]y=-(3)^0=-1[/tex]
then, the y-intercept point is (0,-1).
Now, lets give some values at the variable x and get y.
- When x= -1, we have
[tex]y=-(3)^{-1}=-\frac{1}{3}[/tex]
so we get point (-1, -1/3)
- When x= 0 we obtained y=-1. The point was (0,-1)
-When x=1, we have
[tex]y=-3[/tex]
- When x=2, we have
[tex]y=-(3)^2=-9[/tex]
- When x=3, we have
[tex]y=-(3)^3=-27[/tex]
All these result can be summarized in the following table:
The graph associated to our table is:
