Question

Express the function $f:X\to R$ given by $f\left(x\right)=x^3+1$ as set of ordered pairs, where X = {-1, 0, 3, 9, 7}.

Answer 1

We have, $f:X\to R,f\left(x\right)=x^3+1$
Where $X=\{-1,0,3,9,7\}$
When x = -1, then $f(-1)=(-1{)}^3+1=-1+1=0$
$x=0$, then $f\left(0\right)=(0{)}^3+1=0+1=1$
$x=3$, then $f\left(3\right)=(3{)}^3+1=27+1=28$
$x=9$, then $f\left(9\right)=(9{)}^3+1=729+1=730$
$x=7$, then $f\left(7\right)=(7{)}^3+1=343+1=344$
f = {(-1, 0), (0, 1), (3, 28), (9, 730), (7, 344)}
$\therefore$ Range of f = {0, 1, 28, 730, 344}