Answer:
The graph of the function is the last graph.
Step-by-step explanation:
To know which graph represents the function
you should give values to x and compare it with the values on the graphs, as follows:
When x=-3
![g(-3)=3.5^{-3-1}](https://tex.z-dn.net/?f=g%28-3%29%3D3.5%5E%7B-3-1%7D)
![g(-3)=3.5^{-4}](https://tex.z-dn.net/?f=g%28-3%29%3D3.5%5E%7B-4%7D)
![g(-3)=0.007](https://tex.z-dn.net/?f=g%28-3%29%3D0.007)
So, the first point is (-3, 0.007)
When x=-2
![g(-2)=3.5^{-2-1}](https://tex.z-dn.net/?f=g%28-2%29%3D3.5%5E%7B-2-1%7D)
![g(-2)=3.5^{-3}](https://tex.z-dn.net/?f=g%28-2%29%3D3.5%5E%7B-3%7D)
![g(-2)=0.02](https://tex.z-dn.net/?f=g%28-2%29%3D0.02)
So, the second point is (-2, 0.02)
When x=-1
![g(-1)=3.5^{-1-1}](https://tex.z-dn.net/?f=g%28-1%29%3D3.5%5E%7B-1-1%7D)
![g(-1)=3.5^{-2}](https://tex.z-dn.net/?f=g%28-1%29%3D3.5%5E%7B-2%7D)
![g(-1)=0.08](https://tex.z-dn.net/?f=g%28-1%29%3D0.08)
So, the third point is (-1, 0.08)
When x=0
![g(0)=3.5^{0-1}](https://tex.z-dn.net/?f=g%280%29%3D3.5%5E%7B0-1%7D)
![g(0)=3.5^{-1}](https://tex.z-dn.net/?f=g%280%29%3D3.5%5E%7B-1%7D)
![g(0)=0.29](https://tex.z-dn.net/?f=g%280%29%3D0.29)
So, the fourth point is (0, 0.29)
When x=1
![g(1)=3.5^{1-1}](https://tex.z-dn.net/?f=g%281%29%3D3.5%5E%7B1-1%7D)
![g(1)=3.5^{0}](https://tex.z-dn.net/?f=g%281%29%3D3.5%5E%7B0%7D)
![g(1)=1](https://tex.z-dn.net/?f=g%281%29%3D1)
So, the fifth point is (1, 1)
When x=2
![g(2)=3.5^{2-1}](https://tex.z-dn.net/?f=g%282%29%3D3.5%5E%7B2-1%7D)
![g(2)=3.5^{1}](https://tex.z-dn.net/?f=g%282%29%3D3.5%5E%7B1%7D)
![g(2)=3.5](https://tex.z-dn.net/?f=g%282%29%3D3.5)
So, the fourth point is (2, 3.5)
If you compares all the points, the graph of the function is the last graph.