
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function $f(x)= \sqrt {1-(x-1)^{2}}$, if $0 < x_{1} < x_{2} < 1$, determine the relationship between $\dfrac{f(x_{1})}{x_{1}}$ and $\dfrac{f(x_{2})}{x_{2}}$.

Present the answer in LaTex format: \boxed{Your answer}
user