Let $f(x)=\left(\frac37\right)^x$ be a function that is defined on the domain $[0,\infty)$. Find the range of the function.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $f(x)=\left(\frac37\right)^x$ be a function that is defined on the domain $[0,\infty)$. Find the range of the function.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
(0,1]
Let $f(x)=\left(\frac37\right)^x$ be a function that is defined on the domain $[0,\infty)$. Find the range of the function.
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