Sarthaks Test
0 votes
1.8k views
in Mathematics by (7.9k points)

Is g = {(1, 1), (2, 3), (3, 5), (4, 7)} a function? Justify. If this is described by the relation g (x) = αx + β, then what values should be assigned to α and β?

1 Answer

+1 vote
by (13.1k points)
selected by
 
Best answer

Answer is Yes, 

values should be α = 2 , β = −1

Explanation: Given that, g = {(1,1),(2,3),(3,5),(4,7)}
Here,each element of domain has unique image. So,g is a function .
Now given that, g(x) = αx+β
g(1) = 1 
⇒ α+β = 1
g(2) = 3
⇒ 2α+β = 3
Solving (i) and (ii), we get   
α = 2, β = -1
∴ g(x) = 2x - 1
above function satisfies (3,5) and (4,7)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...