For , define by . For which value(s) of is injective on…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

For

k\in\mathbb R

, define

f_k:\mathbb R\rightarrow\mathbb R

by

f_k(x)=kx^{2}+(k-2)x+1

. For which value(s) of

k

is

f_k

injective on

\mathbb R

? (a) All

k>0

(b) Only

k=0

(c)

4-2\sqrt{3}<k<4+2\sqrt{3}

(d) Only

k=2

Related theory

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