
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
Definition: If the function $y=f(x)$ has a point $x_{0}(a < x_{0} < b)$ in the given interval $[a,b]$ within its domain, satisfying $f(x_{0})= \dfrac {f(b)-f(a)}{b-a}$, then the function $y=f(x)$ is called an "average value function" on $[a,b]$, and $x_{0}$ is one of its mean value points. For example, $y=|x|$ is an average value function on $[-2,2]$, and $0$ is its mean value point. If the function $f(x)=x^{2}-mx-1$ is an "average value function" on $[-1,1]$, then the range of the real number $m$ is \_\_\_\_\_\_.

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