domain of a function Synonyms
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domain of a function Meaning
Wordnet
domain of a function (n)
(mathematics) the set of values of the independent variable for which a function is defined
domain of a function Sentence Examples
- The domain of the function f(x) = x^2 + 2x + 1 consists of all real numbers.
- Determine the domain of the function f(x) = (x-3)/(x+2) carefully, as division by zero is undefined.
- The domain of the function f(x)=√(x+1) is restricted to values of x for which the expression inside the square root is nonnegative.
- The domain of g(x) = log(x-1) is all real numbers greater than 1 since the argument of the logarithm must be positive.
- Trigonometric functions typically have domains restricted to certain intervals to ensure a unique output for each input.
- The domain of f(x)=(1/x) is all real numbers except zero, since division by zero is undefined.
- The inverse function of a one-to-one function has a domain equal to the range of the original function.
- The piecewise function f(x) = x for x ≤ 0 and f(x) = x^2 for x > 0 has a domain of all real numbers.
- The domain of a function can be restricted or enlarged by using transformations such as translations, reflections, and stretches.
- Always consider the nature of the function, its mathematical operations, and the definition of its domain based on its properties.
FAQs About the word domain of a function
(mathematics) the set of values of the independent variable for which a function is defined
No synonyms found.
No antonyms found.
The domain of the function f(x) = x^2 + 2x + 1 consists of all real numbers.
Determine the domain of the function f(x) = (x-3)/(x+2) carefully, as division by zero is undefined.
The domain of the function f(x)=√(x+1) is restricted to values of x for which the expression inside the square root is nonnegative.
The domain of g(x) = log(x-1) is all real numbers greater than 1 since the argument of the logarithm must be positive.
