A function is defined by the following three connected pieces:

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

Problem

A function is defined by the following three connected pieces: (i) A horizontal ray on y=1y=1 starting at (−4,1)(-4,1) (solid) and extending indefinitely to the left. (ii) A straight line segment from (−4,1)(-4,1) (solid) to (2,−5)(2,-5), but open at (2,−5)(2,-5). (iii) A horizontal ray on y=−5y=-5 starting at (2,−5)(2,-5) (solid) and extending indefinitely to the right. Determine the range of the function. (a) (−5,1](-5,1] (b) {−5, 1}\{-5,\,1\} (c) [−5,1][-5,1] (d) [−5,1)[-5,1)

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