Question

If a function is defined on $f:\{,-1,0,1,2\}\to \{1,2,5\},$ and graph of which is given below.
Identify the given function.

• A. $f\left(x\right)=x^2-1$
• B. $f\left(x\right)=x^2+2$
• C. $f\left(x\right)=x^2+1$
• D. $f\left(x\right)=x^2$

Answer 1

The correct option is C $f\left(x\right)=x^2+1$

Given: $f:\{-1,0,1,2\}\to \{1,2,5\}$

$f(-1)=2$
$f\left(0\right)=1$
$f\left(1\right)=2$
$f\left(2\right)=5$

From graph we can see that the minimum value of function can be at $x=0$ and can be symetric about $x=0$
$\therefore$ function can be $x^2+1.$