Question

Which of the following mapped diagram satisfies given function.
$y=x^2$
Domain:$\{1,2,-1,-2,3,-3\}$
Range:$\{1,4,9\}$
Given that $x\in \text{Domain}\&y\in \text{Range}$

• A.
• B.
• C.

Answer 1

The correct option is C

Given rule is $y=x^2$
Domain:$\{1,2,-1,-2,3,-3\}$
Range:$\{1,4,9\}$
Given that $x\in \text{Domain}\&y\in \text{Range}$

Here, $1=1^2,4=2^2,4=(-2{)}^2,9=3^2,9=(-3{)}^2$
Hence, $1$ in range should be mapped with $1$ in domain,
similiarly, $4$ in range with $2\&-2$ in domain
$9$ in range with $3\&-3$ in domain.

Concept: A relation from set $X$ to set $Y$ is called function only if all elements of set $X$ are mapped with exactly one element of set $Y$.

We know that in mapping, relation is shown from domain to range. Hence, arrow points towards elements of range.