
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
Find the range of the function \[h(t) = \frac{t^2+\frac{5}{4}t}{t^2+2},\]where $t$ can be any real number. (Give your answer in interval notation.)

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