Math Problem Statement
Solution
To determine the domain of the square root function graphed, we observe where the graph exists along the x-axis, since the domain refers to the set of all possible x-values for which the function is defined.
From the graph:
- The function starts at and extends to the right.
- There are no parts of the function graphed for .
Therefore, the domain of this square root function is:
The correct answer is: .
Would you like more details or have any questions?
Here are some related questions:
- What is the range of this square root function?
- How do you determine the domain of a square root function in general?
- What transformations could shift this square root graph horizontally?
- How does the domain change if we reflect the graph across the y-axis?
- What happens to the domain if we consider a square root function with a vertical stretch?
Tip: When determining the domain of a square root function, remember that the expression inside the square root must be non-negative (greater than or equal to zero).
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Math Problem Analysis
Mathematical Concepts
Functions
Domain of Square Root Functions
Graphs
Formulas
The function inside the square root must be non-negative, i.e., x - 1 ≥ 0
Theorems
Domain Rule for Square Root Functions
Suitable Grade Level
Grades 9-11
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