Shown below
Explanation:
The function is as follows:
[tex]f(x)=3(\frac{2}{3})^x[/tex]
This is an exponential decay because [tex]2/3<1[/tex]. So, let's find some important points:
y-intercept:
This occurs when [tex]x=0[/tex], so:
[tex]f(x)=3(\frac{2}{3})^x \\ \\ f(x)=3(\frac{2}{3})^0 \\ \\ f(x)=3(1) \\ \\ f(x)=3 \\ \\ \\ So, \ point \ (0,3) \ is \ solution \ to \ the \ graph \ of \ the \ function[/tex]
Find another point:
[tex]For \ x=1 \\ \\ f(x)=3(\frac{2}{3})^1 \\ \\ f(x)=2 \\ \\ \\ So, \ point \ (1,2) \ is \ also \ a \ solution[/tex]
Finally, the exponential function passes through these two points as indicated below.
Learn more:
Exponential functions: https://brainly.com/question/1854704
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