
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 $f(x)=\left\{\begin{array}{l}{x^2,}x≥t\\ x\;\;,0＜x＜t\end{array}\right.(t \gt 0)$.<br/>① When $t=1$, the range of $f\left(x\right)$ is ____;<br/>② If $f\left(x\right)$ is monotonically increasing on the interval $\left(0,+\infty \right)$, then the range of values for $t$ is ____.

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