Let p(x)= cases 2^ x , & x<0, -2^ x +1, & x 0

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

Problem

Let p(x)={2x,x<0,−2x+1,x≥0.p(x)=\begin{cases}2^{x}, & x<0,\\-2^{x}+1, & x\ge 0.\end{cases} Identify the range of p(x)p(x). (a) (−∞,0](-\infty,0] (b) (0,1)(0,1) (c) (−∞,1)(-\infty,1) (d) (−∞,1](-\infty,1]

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