
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
Among the following propositions:
\\(①\\) The equation \\(x^{2}+(a-3)x+a=0\\) has one positive real root and one negative real root, then \\(a < 0\\);
\\(②\\) The function \\(y= \sqrt {x^{2}-1}+ \sqrt {1-x^{2}}\\) is both an even function and an odd function;
\\(③\\) If the range of the function \\(f(x)\\) is \\(\[-2,2\]\\), then the range of the function \\(f(x+1)\\) is \\(\[-3,1\]\\);
\\(④\\) The number of common points between the curve \\(y=|3-x^{2}|\\) and the line \\(y=a (a \in R)\\) is \\(m\\), then the value of \\(m\\) can be \\(1\\).
The incorrect one(s) is/are \_\_\_\_\_\_.

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