<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 The figure shows the graphs of two linear functions $y = f(x)$ and $y = g(x)$, along with the coordinates of their points of intersection with the axes. Find the point of the maximum of the function $y = f(x) \cdot g(x)$ (i.e., the value of $x$ at which the value of the function $f(x) \cdot g(x)$ is maximized). If the answer is not an integer, write it as a decimal fraction. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
-2
The figure shows the graphs of two linear functions $y = f(x)$ and $y = g(x)$, along with the coordinates of their points of intersection with the axes. Find the point of the maximum of the function $y = f(x) \cdot g(x)$ (i.e., the value of $x$ at which the value of the function $f(x) \cdot g(x)$ is maximized). If the answer is not an integer, write it as a decimal fraction.
test