Which of the following relations are functions? Give reasons. If it is a function,determine its domain and range.
$\{(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)\}$
$\{(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)\}$
(N/A) The given relation is $R = \{(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)\}$.
Since each element in the domain $\{2, 5, 8, 11, 14, 17\}$ has a unique image in the codomain,this relation is a function.
Domain $= \{2, 5, 8, 11, 14, 17\}$
Range $= \{1\}$
Since each element in the domain $\{2, 5, 8, 11, 14, 17\}$ has a unique image in the codomain,this relation is a function.
Domain $= \{2, 5, 8, 11, 14, 17\}$
Range $= \{1\}$
Explore More
Similar Questions
Let $f: R \rightarrow R$ be defined by $f(x)=x^2+1$. Then,the pre-images of $17$ and $-3$ respectively are
Which of the following relations are functions? Give reasons. If it is a function,determine its domain and range.
$\{(2,1), (4,2), (6,3), (8,4), (10,5), (12,6), (14,7)\}$
$\{(2,1), (4,2), (6,3), (8,4), (10,5), (12,6), (14,7)\}$
Medium
View Solution$A$ function $f$ is defined by $f(x) = 2x - 5$. Find the value of $f(-3)$.
Easy
View SolutionIf $f(x) = x^4 - 2x^3 + 3x^2 - ax + b$ is divided by $(x - 1)$ and $(x + 1)$,the remainders are $5$ and $19$,respectively. If $f(x)$ is divided by $(x - 2)$,the remainder is:
Let $f$ be the subset of $Z \times Z$ defined by $f = \{(ab, a+b) : a, b \in Z\}$. Is $f$ a function from $Z$ to $Z$? Justify your answer.
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo