Asked by Aikunduz Baltabaeva on May 07, 2024
Verified
Determine the domain and range of the graph of the function g(x) =x3−5g ( x ) = x ^ { 3 } - 5g(x) =x3−5 . 
A) The domain is all real numbers x such that x≥0x \geq 0x≥0 . The range is all real numbers y .
B) The domain is all real numbers x such that x≥−5x \geq - 5x≥−5 . The range is all real numbers y .
C) The domain is all real numbers x such that x≤0x \leq 0x≤0 . The range is all real numbers y such that y≥−5y \geq - 5y≥−5 .
D) The domain is all real numbers x . The range is all real numbers y such that y≥−5y \geq - 5y≥−5 .
E) The domain is all real numbers x . The range is all real numbers y .
Domain
The set of all possible input values (usually x-values) for which a function or relation is defined.
Range
The difference between the highest and lowest values in a set; or in functions, the set of all possible output values.
\(g ( x )\)
A function notation similar to \(f ( x )\), where \(g\) represents another function with the variable \(x\).
- Comprehend the alterations in domain and range following modifications to the algebraic expression of a function.
Verified Answer
OL
Okta Liana SihalohoMay 12, 2024
Final Answer :
E
Explanation :
The function is a cubic function with no restrictions on the domain or range, so the domain is all real numbers x and the range is all real numbers y.
Learning Objectives
- Comprehend the alterations in domain and range following modifications to the algebraic expression of a function.