The domain of the function graphed is [tex]\boxed{{\text{all real numbers}}}.[/tex] Option (d) is correct.
Further explanation:
Domain is a set of all the possible values of the function. The value at which the function is defined is known as domain.
Range is a set of values that the function takes.
The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.
Given:
The given options for the domain are as follows,
(A). all real numbers greater than 4.
(B). all real numbers greater than or equal to 4.
(C). all real numbers greater than or equal to 5.
(D). all real numbers
Explanation:
The x-axis contains all the real numbers and the function can take any value from the x-axis.
The graphed function can take any values. Therefore, the domain is all real numbers.
Hence, the domain of the function graphed is [tex]\boxed{{\text{all real numbers}}}[/tex]. Option (D) is correct.
Option (A) is not correct as the domain of the graphed function is all real numbers.
Option (B) is not correct as the domain of the graphed function is all real numbers.
Option (C) is not correct as the domain of the graphed function is all real numbers.
Option (D) is correct as the domain of the graphed function is all real numbers.
Learn more:
1. Learn more about inverse of the function https://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Functions
Keywords: range, domain, codomain, relation, function, graph, coordinates, close interval, open interval, values.
