create the graph using a different tool to display the cube root function transformations. I'll plot the basic cube root function and its reflections over the x-axis, y-axis, and both axes.

Here is the graph of the cube root function \( \sqrt[3]{x} \) along with its transformations:

- The blue curve represents \( \sqrt[3]{x} \) (the basic cube root function).
- The red dashed curve represents \( -\sqrt[3]{x} \), which is a reflection over the x-axis.
- The green dash-dotted curve represents \( \sqrt[3]{-x} \), a reflection over the y-axis.
- The purple dotted curve represents \( -\sqrt[3]{-x} \), a reflection over both axes.

Let me know if you'd like more details or explanations!

Here are 5 related questions:
1. How would translating the cube root function affect the graph?
2. What happens when you apply a horizontal or vertical stretch to the cube root function?
3. How do reflections affect the domain and range of the cube root function?
4. Can you combine reflections and translations? What does the resulting graph look like?
5. What other transformations can be applied to the cube root function?

**Tip**: When graphing, always check how reflections over different axes affect symmetry in the function's behavior.

Create the graph using a different tool to display the cube root function transformations. I'll plot the basic cube root function and its reflections over the x-axis, y-axis, and both axes.

Explore the cube root function and its reflections over the x-axis, y-axis, and both axes. This problem covers transformations, including reflection theorems and key formulas like f(x) = √[3]{x} and its variations. Ideal for Grades 9-11 students.

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