Let and for . If the equation has exactly two distinct real solutions, then the value…

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

Problem

Let

f(x)=\begin{cases}|x|,&-3\leq x\leq7\\2x-7,&7<x\leq10\end{cases}

and

g(x)=2x+1

for

-3\leq x\leq10

. If the equation

f(|x|)+g(|x|)=k

has exactly two distinct real solutions, then the value of

k

cannot be (a)

32

(b)

33

(c)

34

(d)

35