Math Problem Statement
Use graphing technology to find the domain of the function f(x) = √(x - 3) - 3.
Solution
The function given is:
Finding the Domain
Since the function contains a square root, the expression inside the square root must be non-negative (greater than or equal to 0).
Thus, the domain of the function is all real numbers such that .
Domain in Interval Notation:
This means the function is only defined for values starting from and going to infinity.
Would you like further explanation or a graph to visualize this?
Related Questions:
- What is the range of the function ?
- How do square root functions behave for negative inputs?
- How do you determine domain for more complex functions with multiple constraints?
- What changes if the function were ?
- How does a graphing calculator verify the domain of a function?
Tip: When working with square roots, always start by ensuring the expression inside the radical is non-negative to find the domain.
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Square Roots
Domain
Formulas
x - 3 ≥ 0
Theorems
Square Root Property
Suitable Grade Level
Grades 9-12