
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 that the function $y=f(x)$ is increasing on the interval $(0,2)$, and the function $y=f(x+2)$ is an even function, determine the relationship among $f( \frac {7}{2})$, $f( \frac {5}{2})$, and $f(1)$.

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