Math Problem Statement
Solution
The question in the image asks about the domain of the linear function , where the function is defined for .
Solution:
The domain of a function refers to the set of all possible input values (values of ) for which the function is defined.
In this case, it is already stated that the function is defined for . Therefore, the domain is exactly , meaning the possible values of range from 0 to 5, inclusive.
Thus, the correct answer is: A. [0, 5]
Would you like further details or explanations? Here are some related questions you might consider:
- What is the range of the function when ?
- How do you determine the domain of a more complex function?
- What changes to the domain would occur if the function were ?
- How can we graph the function for ?
- What is the significance of a domain restriction in real-world applications?
Tip: Always check whether a function has restrictions like divisions by zero or square roots of negative numbers when determining its domain.
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Domain of a Function
Formulas
f(x) = mx + b
Theorems
-
Suitable Grade Level
Grades 7-9