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The image contains a mathematical assignment question about transformations. The function given is \( f(x) = \sqrt[5]{x} \), and it requires analyzing four transformations:

1. \( \sqrt[5]{x} + 6 \)
2. \( \sqrt[5]{50x} \)
3. \( \sqrt[5]{x/50} \)
4. \( \sqrt[5]{\sqrt{x}} \)

The tasks are:

1. Draw the graphs of these transformations.
2. Explain the transformations graphically.
3. Discuss the domain and range for these transformations.

Would you like detailed steps on how to approach these tasks, or should I begin with the graphs and explanations?

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Here are five relative questions to help deepen your understanding:
1. What effect does adding a constant, like \(+6\), have on a graph?
2. How does multiplying the input by a constant, like \(50x\), transform the graph?
3. What does dividing the input by a constant, such as \(x/50\), do to the function's shape?
4. How does applying a square root to the variable inside a function change the graph?
5. Can you identify the domain and range of a general function like \( \sqrt[5]{x} \)?

**Tip:** Understanding how transformations like shifts, stretches, and compressions work will help you easily modify function graphs.

If f(x) = √[5]{x}, here are some transformations: √[5]{x} + 6, √[5]{50x}, √[5]{x / 50}, √[5]{√x}. Answer the following questions: 1) Draw the graphs of these transformations. 2) Explain the transformations graphically. 3) Write observations on the domain and range of these transformations.

Explore how to graph and analyze transformations of the function f(x) = √[5]{x}, including vertical shifts, horizontal stretching, and compression. Learn the effects of adding constants and modifying inputs, along with observations on domain and range.

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