
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 $f(x)= \begin{cases} a^{x} & (x > 1) \\ (4- \frac {a}{2})x+2 & (x\leqslant 1) \end{cases}$. If for any distinct $x\_1, x\_2 \in R$, we have $\frac {f(x\_1)-f(x\_2)}{x\_1-x\_2} > 0$, then the range of values for the real number $a$ is _______.

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