
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
A function $y=f(x)$ defined on the number set $U$ is called a storm function on $U$ if for any $x_1, x_2 \in U$, we have $|f(x_1)-f(x_2)|<1$.
(I) Determine whether the following functions are storm functions on the interval $[-1,1]$ and explain the reasons:
1. $y=2^{x-1}+1$, 2. $y= \frac {1}{2}x^2+1$;
(II) If the function $f(x)= \frac {1}{2}x^2-bx+1$ is a storm function on $x\in[-1,1]$, find the range of values for $b$.

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