Question

If f(x)= ax +B and f ={(1, 1), (2, 3), (3, 5), (4, 7)}, then the values of aB are
(1) 2, -1
2) -2, 1
3) 3, -1
4) -2, -1​

Answer 1

Answer:

1

Step-by-step explanation:

hope hope it is helpful you can solve by this way

Answer 2

Correct Question

If f(x)= ax +B and f ={(1, 1), (2, 3), (3, 5), (4, 7)}, then the values of a and B are

(1) 2, -1

2) -2, 1

3) 3, -1

4) -2, -1​

Answer:

The values of a and B are 2 and -1 respectively and option (1)  is correct.

Step-by-step explanation:

Given:

f(x)= ax +B.

f ={(1, 1), (2, 3), (3, 5), (4, 7)}.

To Find:

The values of a and B.

Solution:

As given - $f ={(1, 1), (2, 3), (3, 5), (4, 7)}.$

As we can notice,each element of domain has unique image.

Therefore,f is a function .

As given - $f(x)= ax +B.$

$For\ f=(1,1)$

$f(1)=a.1+B\\1=a+B$ ----------- equation no.01.

$For\ f=(2,3)$

$f(2)=a.2+B\\3=2a+B$ ------ equation no.02.

Subtracting equation no.1 from equation no.02.We get.

$2=a+0$

$a=2$

Putting value of a in equation no.01.We get.

$1=2+B\\B=-1$

Thus,the values of a and B are 2 and -1 respectively and option (1)  is correct.

PROJECT CODE#SPJ3