
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
A function $f(x)$, defined on the real numbers $\mathbb{R}$, is a periodic function with a period of $4$. If in the interval $[-2, 2]$, the function $f(x)$ is given by
$$
f(x) = \begin{cases}
2^{x}+2m, & -2\leq x\leq 0\\
\log_{2}(x)-m, & 0 < x\leq 2
\end{cases},
$$
then find the value of $f(2017m)$.

A) $- \frac {9}{4}$

B) $- \frac {5}{2}$

C) $\frac {9}{4}$

D) $\frac {5}{2}$

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