Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Is g = \left \{(1, 1), (2, 3), (3, 5), (4, 7)\right \} a function? Justify. If this is described by the relation, g (x) = αx + β, then what values should be assigned to α and β?

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

Answers (1)

Given data:

g = \left \{(1,1),(2,3),(3,5),(4,7)\right \}

Here, ‘g’ is a function since every element of the domain has unique image.

g(x) = \alpha x + \beta ... (given)

Now, for (1,1)

g(1) = \alpha (1) + \beta = 1

\alpha + \beta = 1 ....... (i)

& for (2,3),

g(2) = \alpha (2) + \beta = 3

2\alpha + \beta = 3 ........ (ii)

On solving (i) & (ii), we get,

\alpha = 2 \: \: and\: \: \beta = -1.

g(x) = 2x -1

It is satisfying for other values of x hence it is a function.

Posted by

infoexpert21

View full answer

Similar Questions

Latest Question