
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 $f(x) = \frac {4x}{2x^{2}+m}$ where the equation of the tangent at the point $(\frac {1}{2}, f(\frac {1}{2}))$ is $8x-9y+t=0$ (with $m \in \mathbb{N}, t \in \mathbb{R}$),    
(1) determine the values of $m$ and $t$;  
(2) if the inequality $f(x) \leq ax + \frac {8}{9}$ holds for all $x$ in the interval $[\frac {1}{2}, +\infty)$, find the range of the real number $a$.

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