
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 $f(x)=3^{x}+λ⋅3^{-x}(λ∈R)$,
(1) When $λ=-2$, find the zero point of the function $f(x)$;
(2) If the function $f(x)$ is an odd function, find the value of the real number $λ$;
(3) If the inequality $\frac {1}{2}\leqslant f(x)\leqslant 4$ holds true on $x∈[0,1]$, find the range of values for the real number $λ$.

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