this latex doesn't work in overleaf pls redo: \documentclass{article}
\usepackage{pgfplots} % For plotting graphs

\begin{document}

\begin{center}
\begin{tikzpicture}
\begin{axis}[
axis lines = middle,
xlabel = $$ x $$,
ylabel = {$$ f(x) $$},
domain=-3:2,
samples=100,
grid=major,
width=10cm, height=8cm,
ymin=-15, ymax=20,
xlabel style={below right},
ylabel style={above left},
]
\addplot [blue, thick] {x^3 + 2*x^2 - 5*x + 7};
\addlegendentry{$$ f(x) = x^3 + 2x^2 - 5x + 7 $$}
\end{axis}
\end{tikzpicture}
\end{center}

\end{document}

The LaTeX code you provided has some issues with how it uses `$$` for inline math, which can cause problems in some environments like Overleaf. Additionally, it's better to avoid using `$$` for math mode in LaTeX, as it's deprecated. Instead, you should use `` for inline math and `\[ \]` for display math.

Here's the corrected code:

```latex
\documentclass{article}
\usepackage{pgfplots} % For plotting graphs

\pgfplotsset{compat=1.18} % Adjust this to match your Overleaf version

\begin{document}

\begin{center}
\begin{tikzpicture}
\begin{axis}[
axis lines = middle,
xlabel = $ x $,
ylabel = $ f(x) $,
domain=-3:2,
samples=100,
grid=major,
width=10cm, height=8cm,
ymin=-15, ymax=20,
xlabel style={below right},
ylabel style={above left},
]
\addplot [blue, thick] {x^3 + 2*x^2 - 5*x + 7};
\addlegendentry{$ f(x) = x^3 + 2x^2 - 5x + 7 $}
\end{axis}
\end{tikzpicture}
\end{center}

\end{document}
```

### Key Changes:
1. Replaced `$$` with `` for inline math.
2. Specified the `compat` version for `pgfplots` to avoid potential compatibility issues.

This code should work correctly in Overleaf.

---

Would you like further details on any part of the code, or do you have any other questions?

Here are some related questions you might find interesting:
1. How can you customize the appearance of the plot (e.g., color, line style) in `pgfplots`?
2. What are some common issues when using `pgfplots` in LaTeX, and how can they be resolved?
3. How can you plot multiple functions on the same graph in `pgfplots`?
4. What are the different options for setting axis labels in `pgfplots`?
5. How can you add annotations or extra information (like arrows or text) to a `pgfplots` graph?

**Tip:** Always ensure your LaTeX packages are up to date, as older versions can sometimes cause compatibility issues with certain commands or environments.

Resolve LaTeX plotting issues using pgfplots with this detailed example and solution. Learn to correct inline math usage, ensure compatibility with Overleaf, and plot functions effectively. Ideal for LaTeX users troubleshooting graph plotting errors.

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