
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 $f(x) = \begin{cases} \log_a x, & \text{for } x > 0 \\ |x+2|, & \text{for } -3 \leq x \leq 0 \end{cases}, a > 0 \text{ and } a \neq 1$, if there are exactly two points on the graph of $f(x)$ that are symmetric with respect to the y-axis, determine the range of values for $a$.

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