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The function $f(x)=x^{2}+b x+c,$ where $b$ and $c$ real constants, describes
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The correct answer is:
neither one-to-one nor onto mapping
Given function is
$$
f(x)=x^{2}+b x+c
$$
It is a quadratic equation in $x$. So, we will get a parabola either downward or upward.
Hence, it is a many one mapping and not onto mapping. Hence, it is neither one-to-one nor onto mapping.
$$
f(x)=x^{2}+b x+c
$$
It is a quadratic equation in $x$. So, we will get a parabola either downward or upward.
Hence, it is a many one mapping and not onto mapping. Hence, it is neither one-to-one nor onto mapping.
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