
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
Consider the sets $P = \{y \mid y = k, k \in \mathbb{R}\}$ and $Q = \{y \mid y = a^x + 1, a > 0 \text{ and } a \neq 1, x \in \mathbb{R}\}$. If the intersection of sets $P$ and $Q$ contains only one subset, find the range of values for $k$.

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