Math Problem Statement
y=(×+2)^2-3 find the domain of the function
Solution
The function given is .
Finding the Domain:
The domain of a function is the set of all possible input values (usually -values) for which the function is defined.
For the function , there are no restrictions on . This is because:
- The function involves a squared term, , which is defined for all real numbers.
- Subtracting 3 does not impose any additional restrictions.
Thus, the domain of the function is all real numbers.
Domain in Set Notation:
Would you like more details or have any questions?
Here are some related questions:
- What is the range of the function ?
- How do you find the vertex of the parabola described by this function?
- What is the axis of symmetry for the function ?
- How does the graph of compare to the graph of ?
- How can you determine the intercepts of the function ?
Tip: The domain of a polynomial function is always all real numbers unless the function includes a fraction or a square root.
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Math Problem Analysis
Mathematical Concepts
Functions
Quadratic Equations
Domain
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12