
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 the function $f(x)=a+ \frac {1}{4^{x}+1}$, its graph passes through the point $(1,- \frac {3}{10})$.

$(1)$ Determine the parity of function $f(x)$ and explain the reason;

$(2)$ If $- \frac {1}{6}\leqslant f(x)\leqslant 0$, find the range of real numbers $x$.

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