Define by h(x)= cases x+1,&x<0 x^ 2 +k,&x 0 cases

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Define

h:\mathbb R\to\mathbb R

by

h(x)=\begin{cases}x+1,&x<0\\ x^{2}+k,&x\ge 0\end{cases}.

For which real values of

k

is

h

one-to-one on

\mathbb R

? (a)

k<1

(b)

k=1

(c)

k\ge 1

(d) All real

k

Related theory

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