
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 that the continuous differentiable function $f(x)$ has a derivative $f'(x)$ in its domain $R$, if the equation $f'(x) = 0$ has no solution and $f[f(x) - 2017^x] = 2017$, when $g(x) = \sin x - \cos x - kx$ has the same monotonicity as $f(x)$ in $R$ on $[-\frac{\pi}{2}, \frac{\pi}{2}]$, determine the range of the real number $k$.

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