
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 $f(x)$ be a function defined on $\mathbb{R}$ with a period of $3$, and $f(x)$ is given by $f(x) = \begin{cases} 4x^{2}-2, & -2\leqslant x\leqslant 0 \\ x, & 0 < x < 1 \end{cases}$, evaluate $f\left( \dfrac {5}{2}\right)$.

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