
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 $f(x) = 2x^2 - 1$, there is a point $(1, 1)$ on the graph of the function and an adjacent point $(1 + \Delta x, f(1 + \Delta x))$. Find the value of $\frac {\Delta y}{\Delta x}$.

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