The graph is not a function because there are two different y-values for a single x-value. Option (d) is correct.
Further explanation:
Given:
The options are as follows,
(a). It is not a function because the points are not connected to each other.
(b). It is not a function because the points are not related by a single equation.
(c). It is not a function because there are two different x-values for a single y-value.
(d). It is not a function because there are two different y-values for a single x-value
Explanation:
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.
The one-to-one function is a function in which every value of the range has exactly one pre-image in the domain.
One-to-one function always passes the vertical line test and the horizontal line test.
The given graph doesn’t pass the vertical line test.
The given graph has two values for \(x=4.\)
The graph is not a function because there are two different y-values for a single x-value. Option (d) is correct.
Option (a) is not correct.
Option (b) is not correct.
Option (c) is not correct.
Option (d) is correct.
Kindly refer to the image attached.
Learn more:
- Learn more about inverse of the function https://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function https://brainly.com/question/3412497.
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Relation and Function
Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.
