
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 $f(x)= \sqrt {3}\sin x\cos x-\cos ^{2}x+m(m\in\mathbb{R})$ whose graph passes through point $M\left( \frac {\pi}{12},0\right)$.  
$(1)$ Find the value of $m$;  
$(2)$ In $\triangle ABC$, the sides opposite angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. If $c\cos B+b\cos C=2a\cos B$, find the range of values for $f(A)$.

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