Question

Please see attachment for question.Fill in the table and then graph the function

Answer 1

Step-by-step explanation

First, we have to fill in the table. To do so, we will plug the x-values into the function to find the corresponding value of y,

`\begin{cases}y=-3\cdot3^(-3)=-(3)/(3^3)=-(3)/(27)=-(1)/(9) \\ \\ y=-3\cdot3^(-2)=-\frac{3}{3^2^{}}=-(3)/(9)=-(1)/(3) \\ \\ y=-3\cdot3^(-1)=-(3)/(3^1)=-(3)/(3)=-1 \\ \\ y=-3\cdot3^0=-3\cdot1=-3 \\ \\ y=-3\cdot3^1=-3\cdot3=-9 \\ \\ y=-3\cdot3^2=-3\cdot9=-27 \\ \\ y=-3\cdot3^3=-3\cdot27=81\end{cases}`

So, the table is,

Next, we have to graph all of these points in the coordinate plane. The last one cannot be graphed because y = -81 does not fit in the given coordinate plane. Also, the first two values won't be very accurate because of the scale of the y-axis. The graphed points are,

And finally, to graph the function we join the dots with a line.