1. **Problem:** Graph the function $y=4^x$ and identify at least two points on the graph. 2. **Formula and rules:** The general form of an exponential function is $y=a^x$ where $a>0$ and $a\neq1$. 3. **Intermediate work:** - Calculate $y$ for $x=-2$: $$y=4^{-2}=\frac{1}{4^2}=\frac{1}{16}$$ - Calculate $y$ for $x=2$: $$y=4^2=16$$ 4. **Explanation:** The function $y=4^x$ grows exponentially because the base 4 is greater than 1. At $x=0$, $y=1$ since any number to the zero power is 1. 5. **Points on the graph:** $(-2, \frac{1}{16})$, $(0,1)$, and $(2,16)$. 6. **Final answer:** The graph passes through these points and shows exponential growth.