Question

Which of the following function satisfies the given mapping diagram?

• A. $y=x^2+x$
• B. $y=x(x+1)$
• C. $y=\frac{x^3+x^2}{x}$

Answer 1

Answer: (A), (B), (C)

$y=\frac{x^3+x^2}{x}$

Given that
Domain$:\{4,5,6,7\}$
Range$:\{20,42,30,56\}$

On checking through given options,
$\underset{–}{Option\left(a\right)}:y=x^2+x$
Here, we need to put the mapped values of domain and range in $x\&y$
$\Rightarrow 20=4^2+4,30=5^2+5,42=6^2+6,56=7^2+7$
Hence, $y=x^2+x$ satisfies given mapping diagram.

$\underset{–}{Option\left(b\right)}:y=x(x+1)=x^2+x$

$\underset{–}{Option\left(c\right)}:y=\frac{x^3+x^2}{x}=x^2+x$