A function is represented on the Cartesian plane by the following three pieces:

MATHEMATICS · Single correct · US High School · Algebra 1 · Functions · Functions

Problem

A function

g

is represented on the Cartesian plane by the following three pieces: (i)

y=(x+1)^2

for

-3\le x\le -1

(both endpoints are filled dots), (ii)

y=2

for

-1<x<2

(both endpoints are hollow dots), (iii)

y=1

for

x\ge 2

with a filled dot at

(2,1)

. What is the range of

g

? (a)

(0,4]

(b)

[1,4]

(c)

[0,4]

(d)

[0,4)