Question

The following table represents a function from $\text{A}=\{5,6,8,10\}$ to $\text{B}=\{19,15,9,11\}$, where $f\left(x\right)=2x-1$. Find the values of $a$ and $b$, respectively. $x$ $f\left(x\right)$

$5$	$6$	$8$	$10$
$a$	$11$	$b$	$19$

• A. $9$ and $15$
• B. $15$ and $9$
• C. $19$ and $9$
• D. $9$ and $19$

Answer 1

The correct option is A $9$ and $15$

Given,
$y=f\left(x\right)=2x–1$

$a=f\left(5\right)=2\left(5\right)–1=10–1=9$

$b=f\left(8\right)=2\left(8\right)–1=16–1=15$

Therefore, $a=9$ and $b=15$.