Question

4. Graph the following function. y = - (3) Begin with the y intercept, then fill in the table I х -1 0 y у

Answer 1

We have the function

`y=-(3)^x`

The y-intercept ocurrs at x=0, that is,

`y=-(3)^0=-1`

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

`y=-(3)^(-1)=-(1)/(3)`

so we get point (-1, -1/3)

- When x= 0 we obtained y=-1. The point was (0,-1)

-When x=1, we have

`y=-3`

- When x=2, we have

`y=-(3)^2=-9`

- When x=3, we have

`y=-(3)^3=-27`

All these result can be summarized in the following table:

The graph associated to our table is: