1. **State the problem:** We need to complete the table for the function $y=3^x$ at $x=-1,0,1,2$ and then plot two points to graph the function. 2. **Recall the function:** The function is an exponential function defined as $y=3^x$. 3. **Calculate each value:** - For $x=-1$: $$y=3^{-1}=\frac{1}{3}$$ - For $x=0$: $$y=3^0=1$$ - For $x=1$: $$y=3^1=3$$ - For $x=2$: $$y=3^2=9$$ 4. **Complete the table:** | x | y | |---|---| | -1 | $\frac{1}{3}$ | | 0 | 1 | | 1 | 3 | | 2 | 9 | 5. **Plot two points:** We can plot points $(-1, \frac{1}{3})$ and $(1,3)$ on the Cartesian plane to help graph the function. 6. **Explanation:** The function $y=3^x$ grows exponentially as $x$ increases. At $x=0$, the value is always 1 for any base raised to zero power. For negative $x$, the value is the reciprocal of the positive exponent. **Final answer:** - $y(\!-1)=\frac{1}{3}$ - $y(0)=1$ - $y(1)=3$ - $y(2)=9$