1. The problem asks to graph the function $$y = 2^x$$ over the interval $$[-4,4]$$. 2. The function $$y = 2^x$$ is an exponential function with base 2, which means it grows rapidly as $$x$$ increases. 3. Important properties of $$y = 2^x$$: - It is always positive: $$y > 0$$ for all $$x$$. - It passes through the point $$(0,1)$$ because $$2^0 = 1$$. - As $$x \to -\infty$$, $$y \to 0$$ but never reaches zero. - As $$x \to \infty$$, $$y \to \infty$$. 4. Based on these properties, the graph should show a curve that is close to zero on the left side (near $$x = -4$$), passes through $$(0,1)$$, and rises steeply to the right (towards $$x = 4$$). 5. Comparing the descriptions: - Graph A and C are parabolas, which do not match exponential behavior. - Graph D shows a decreasing exponential, which is $$y = 2^{-x}$$, not $$2^x$$. - Graph B shows an increasing exponential curve that stays near zero on the left and rises steeply to the right, matching $$y = 2^x$$. Final answer: The correct graph is **Graph B**.