Math Problem Statement
g(x) =
x2 − 3x − 18, find domain in interval notation
Solution
To find the domain of the function , we need to determine the set of all possible values of for which the function is defined.
Since is a polynomial function, it is defined for all real numbers. There are no restrictions (like division by zero or taking the square root of a negative number) that would limit the domain.
Thus, the domain of is all real numbers.
In interval notation, the domain is:
Would you like more details or have any questions?
Here are 5 related questions:
- How would you find the domain of a function that includes a square root?
- What is the range of the function ?
- How do you find the vertex of the quadratic function ?
- Can the function have any restrictions if it is part of a composite function?
- How does the domain of a polynomial function generally compare to other types of functions?
Tip: When working with quadratic functions, always check if there are any real restrictions like square roots or denominators to determine the domain correctly.
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Functions
Domain and Range
Formulas
General form of a quadratic equation: ax^2 + bx + c
Theorems
Properties of polynomial functions
Suitable Grade Level
Grades 9-10