Question

The function $f\left(x\right)=x^2+bx+c$, where $b$ and $c$ real constants, describes

• A. one-to-one mapping
• B. onto mapping
• C. not one-to-one onto mapping
• D. neither one-to-one nor onto mapping

Answer 1

The correct option is D neither one-to-one nor onto mapping

$f\left(x\right)=x^2+bx+c$ when $f\left(x_1\right)=f\left(x_2\right)$

Since this a quadratic function and quadratic function is neither one-one nor onto.

so option D is correct.