
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 $f(x)=\begin{cases} & {{\log }\_{a}}x,x > 0 \\\\ & \left| x+3 \right|,-4\leqslant x < 0 \\end{cases}$, where $a > 0$ and $a\neq 1$, there are exactly two pairs of points on the graph of $y=f(x)$ that are symmetric about the $y$-axis. The range of values for the real number $a$ is $\_\_\_\_\_\_\_\_\_\_\_.$

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