
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
Let the function \( f(x)=\sqrt{x^{2}+1}-ax \), where \( a>0 \).

1) Solve the inequality \( f(x) \leqslant 1 \).
2) Find the range of values of \( a \) such that the function \( f(x) \) is monotonic on the interval \([0, +\infty)\).

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