Question
Function \( f \) is defined by \( f(x)=10^{4} \) Select the domain of the function \( x>0 \) \( x>1 \) \( x>5 \) all real numbers
Ask by May Reyes. in the United States
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The domain of the function is all real numbers.
Solution
The function f is defined by f(x) = 10^4, which is a constant function. A constant function is defined for every real number x since no restrictions (like operations that require x to be positive such as a square root or division by x) appear in the function's definition. Therefore, the domain is all real numbers.
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Simplify this solution Mind Expander
The function \( f(x) = 10^4 \) is a constant function, meaning it outputs the same value regardless of the input \( x \). Therefore, it is defined for all real numbers since there are no restrictions on \( x \). In this case, the domain of the function is all real numbers. This means you can plug in any value for \( x \), and you'll always get \( 10^4 = 10000 \) as the result.
