Math Problem Statement
Solution
The image you uploaded contains a graph of a function, and the question asks about the range of its inverse function.
To determine the range of the inverse function, remember that the range of the original function becomes the domain of the inverse, and the domain of the original function becomes the range of the inverse.
Looking at the graph:
- The blue function appears to start at and ends at .
- The inverse function will have its domain from , corresponding to the range of the original function.
Thus, the range of the inverse function corresponds to the domain of the original function. Therefore, the answer is C) .
Let me know if you want any further clarifications or details!
Here are some related questions you might find helpful:
- What is the definition of the inverse of a function?
- How can you graph the inverse of a function?
- What is the relationship between the domain and range of a function and its inverse?
- How do you find the inverse of a function algebraically?
- Can you graph a function and its inverse on the same coordinate plane?
Tip: When solving inverse function problems, always think of switching the roles of and .
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Math Problem Analysis
Mathematical Concepts
Inverse Functions
Domain and Range
Formulas
Range of the inverse function is the domain of the original function
Theorems
Inverse Function Theorem
Suitable Grade Level
Grades 9-11