1. The problem is to graph the function $$y=2^x$$ over the interval $$[-3,3]$$ and identify the correct graph. 2. The function $$y=2^x$$ is an exponential growth function where the base 2 is greater than 1. 3. Important properties: - At $$x=0$$, $$y=2^0=1$$. - For negative $$x$$, $$y=2^x$$ approaches 0 but never reaches it. - For positive $$x$$, $$y=2^x$$ increases rapidly. 4. Evaluate key points: - $$y( -3 )=2^{-3}=\frac{1}{2^3}=\frac{1}{8}=0.125$$ - $$y(0)=1$$ - $$y(3)=2^3=8$$ 5. The graph should pass through points $$(-3,0.125)$$, $$(0,1)$$, and $$(3,8)$$. 6. The shape is an increasing curve starting near zero on the left and rising steeply on the right. 7. Among the options: - Graph A and C are parabolas, which do not match exponential growth. - Graph D is an increasing exponential curve but positioned center-right. - Graph B is the exponential growth curve positioned top-left, matching the description. 8. Therefore, the correct graph is B. Final answer: The correct graph for $$y=2^x$$ on $$[-3,3]$$ is graph B.