
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 $M(x_{0},y_{0})$ is a point on the hyperbola $C$: $\frac{x^{2}}{2}-y^{2}=1$, and $F_{1}$, $F_{2}$ are the left and right foci of $C$, if $\overrightarrow{MF_{1}} \cdot \overrightarrow{MF_{2}} < 0$, determine the range of $y_{0}$.

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