Answer:
B). graph of increasing exponential function going through point (0, 3)
Step-by-step explanation:
Given function is ![f\left(x\right)=3\left(1.5\right)^x](https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%3D3%5Cleft%281.5%5Cright%29%5Ex)
Now we need to find about which of the given choices best describes the given function. Where given choices are:
A). graph of increasing exponential function going through point 0, 2
B). graph of increasing exponential function going through point 0, 3
C). graph of increasing exponential function going through point 0, 1
D). graph of increasing exponential function going through point 0, 4
plug x=0 into given function
![f\left(x\right)=3\left(1.5\right)^x](https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%3D3%5Cleft%281.5%5Cright%29%5Ex)
![f\left(0\right)=3\left(1.5\right)^0=3(1)=3](https://tex.z-dn.net/?f=f%5Cleft%280%5Cright%29%3D3%5Cleft%281.5%5Cright%29%5E0%3D3%281%29%3D3)
Hence graph passes through point (0,3).
growth factor 1.5 is greater than 1 so that means it is increasing function.
Hence correct choice is:
B). graph of increasing exponential function going through point (0, 3)