Math Problem Statement
Identify the domain and then graph the function. f left parenthesis x right parenthesis equals RootIndex 3 StartRoot x EndRoot plus 2
Solution
The graph of the function is shown above. As expected, the graph is a shifted version of the basic cube root function, translated 2 units upward.
Would you like more details or have any questions about this topic?
Here are five related questions you might find interesting:
- How do translations affect the graph of a general function?
- What is the difference between the cube root function and the square root function in terms of their domains and ranges?
- How do you determine the range of the function ?
- What are the key points that you should plot when sketching the graph of a cube root function?
- 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.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Cube Root Functions
Graphing
Formulas
f(x) = ∛x + 2
Theorems
Domain and Range of Cube Root Functions
Transformations of Functions
Suitable Grade Level
Grades 9-12