
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 a function $f(x)=a^{2x}+ma^{-2x}$ ($a > 0,a\neq 1$) is defined on $\mathbb{R}$ and is an odd function.

(I) Find the value of the real number $m$;

(II) If $f(1)= \dfrac {15}{4}$, and $g(x)=f(x)-2kf\left( \dfrac {x}{2}\right)+2a^{-2x}$ has a minimum value of $2$ on the interval $[0,1]$, find the range of values for the real number $k$.

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