
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 functions $f(x)=e^{x}-ax-a$ and $g(x)= \frac {1}{3}x^{3}-2x^{2}+3x+ \frac {16}{3}$.

1. Discuss the number of zeros of $f(x)$.
2. If $\forall x_{1}\in\[-1,2\], \exists x_{2}\in\[-1,2\],$ such that $f(x_{1})\geqslant g(x_{2})$, find the range of values for $a$.

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