Function f:R R, ;f(x) = x^2 + x is - Vidyadip

MCQ

Function $f:R \to R,\;f(x) = {x^2} + x$ is

A
One-one onto
B
One-one into
C
Many-one onto
✓
Many-one into

✓

Answer

Correct option: D.

Many-one into

d
(d) $\because f(0)=f(-1)=0$

hence $f(x)$ is many one.

But there is no pre-image of $ - 1$.

Hence $f(x)$ is into function.

So function is many-one into.

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