
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 $f(x)= \begin{cases} x- \frac {2}{x},(x > \frac {1}{2}) \\ x^{2}+2x+a-1,(x\leqslant \frac {1}{2})\end{cases}$,
(1) If $a=1$, find the zeros of the function $f(x)$;
(2) If the function $f(x)$ is increasing on $[-1,+\infty)$, find the range of $a$.

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