The function is defined as f(x)= cases x^ 2 ,& x<k 2k - x,& x k cases For which one…

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

The function

f

is defined as

f(x)=\begin{cases}x^{2},& x<k\\ 2k - x,& x\ge k\end{cases}

For which one of the following values of

k

is the range of

f

equal to

\mathbb{R}

? (a)

-2

(b)

-1

(c)

0

(d)

-3