Identify the domain and then graph the function.
f left parenthesis x right parenthesis equals RootIndex 3 StartRoot x EndRoot plus 2 

The graph of the function \( f(x) = \sqrt[3]{x} + 2 \) is shown above. As expected, the graph is a shifted version of the basic cube root function, translated 2 units upward.

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Here are five related questions you might find interesting:
1. How do translations affect the graph of a general function?
2. What is the difference between the cube root function and the square root function in terms of their domains and ranges?
3. How do you determine the range of the function \( f(x) = \sqrt[3]{x} + 2 \)?
4. What are the key points that you should plot when sketching the graph of a cube root function?
5. How would the graph change if we multiplied the cube root by a constant before adding 2?

**Tip:** When graphing functions, always consider transformations like shifts, stretches, and reflections to understand how the basic function's shape changes.

Identify the domain and then graph the function. f(x) = ∛x + 2

Explore how to identify the domain and graph the function f(x) = ∛x + 2. This problem introduces the cube root function and its transformations, including a vertical shift. Learn key concepts in graphing functions and understanding domain and range, ideal for students in Grades 9-12.

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