You have the equation \( y = 5x^3 - 9x^2 + 28x + 6 \), which is a cubic function. Would you like to solve for \(x\), find its critical points, graph it, or do something else with it?

Here are some common operations you might want to explore with this function:
1. Solve for \(x\) when \(y = 0\) (finding the roots).
2. Find the critical points (where the derivative is zero).
3. Analyze the behavior of the function as \(x \to \infty\) or \(x \to -\infty\) (end behavior).
4. Graph the function to visualize its shape.
5. Find the inflection points to understand the concavity of the function.

**Tip**: A cubic function can have one or two turning points, depending on the nature of its critical points.

Explore the properties of the cubic function y = 5x^3 - 9x^2 + 28x + 6, including finding its roots, critical points, and inflection points. This comprehensive analysis covers key algebraic concepts such as derivatives, end behavior, and concavity. Suitable for students in Grades 10-12.

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