
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 graph of the function $f(x)= \sqrt {3}\sin x\cos x+\cos ^{2}x- \frac {1}{2}$ is shifted to the left by $\frac {5\pi}{12}$ units to obtain the graph of $y=g(x)$, then the range of $g(x)$ on $\left[- \frac {\pi}{12}, \frac {\pi}{3}\right]$ is \_\_\_\_\_\_.

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