Question

A function $f$ represented by the arrow diagram is shown below :


For the above diagram, which of the following is INCORRECT ?

• A. Domain of $f$ is $\{2,3,4,5\}$
• B. Range of $f$ is $\{4,9,16,25\}$
• C. Co-domain of $f$ is $\{1,4,9,16,25,36\}$
• D. The function $f$ is defined as
  $f:\{2,3,4,5\}\to R$ such that $f\left(x\right)=x^2$

Answer 1

The correct option is D The function $f$ is defined as

$f:\{2,3,4,5\}\to R$ such that $f\left(x\right)=x^2$

$D\left(f\right)=\{2,3,4,5\}$
$R\left(f\right)=\{4,9,16,25\}$
$C\left(f\right)=\{1,4,9,16,25,36\}$
The function $f$ is defined as
$f:\{2,3,4,5\}\to \{1,4,9,16,25,36\}$ such that $f\left(x\right)=x^2$