Question

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

Answer 1

Hope this helps mate

Answer 2

Answer:

Value should be assigned to a and b are a=2,b=-1.

Step-by-step explanation:

Given:

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

In this question each element of domain has an unique image in range. So, g is a function.

Given:

$g(x)=ax+b\\\\g(1)=1 \\\\a+b=1 \cdots-(1) \\\\g(2)=3 \\2a+b=3 ..................(2)\end{aligned}\\\\On solving (1) and (2), we get,\\a=2, b=-1 \\\\&\therefore g(x)=2 x-1\end{aligned}$

Value should be assigned to a and b are a=2 and b=-1.