Question

If $f\left(x\right)=ax+\beta$ and $f=\left\{\right(1,1),(2,3),(3,5),(4,7\left)\right\}$ then the values of $\alpha$ and $\beta$ are

• A. $2,-1$
• B. $-2,1$
• C. $3,-1$
• D. $-2,-1$

Answer 1

Answer: (A)

$2,-1$

$f\left(1\right)=\alpha +\beta =1$
$f\left(2\right)=\alpha \times 2+\beta =3$
$\therefore \alpha =2$, $\beta =-1$
Checking for rest of values using above $\alpha$ and $\beta$ also satisfies the function's input and output.

Thus option A is correct.