Question

Let $A=\{0,1,2,3\}$ and $B=\{1,3,5,7,9\}$ be two sets.
Let $f:A\to B$ be a function given by $f\left(x\right)=2x+1$
Represent this function as:
(i) a set of ordered pairs
(ii) a table
(iii) an arrow diagram
(iv) a graph

Answer 1

$A=\{0,1,2,3\},B=\{1,3,5,7,9\}$
$f\left(0\right)=2\left(0\right)+1=0+1=1$
$f\left(1\right)=2\left(1\right)+1=2+1=3$
$f\left(2\right)=2\left(2\right)+1=4+1=5$
$f\left(3\right)=2\left(3\right)+1=6+1=7$
(i) A set of ordered pairs
$f=\left\{\right(0,1),(1,3),(2,5),(3,7\left)\right\}$