Mark the correct alternative in each of the following:
The distinct linear functions which map [–1, 1] onto [0, 2] are
a. f(x) = x + 1, g(x) = – x + 1
f(-1) = -1 + 1= 0
f( 1) = 1 + 1 = 2
Also, g(-1) = 1 + 1 = 2
g(1) = -1 + 1= 0
These functions map [–1, 1] onto [0, 2].
b. f(x) = x – 1, g(x) = x + 1
f(-1) = -1 - 1= -2
f( 1) = 1-1 = 0
Also, g(-1) = -1 + 1 = 0
g(1) = 1 + 1= 2
These functions do not map [–1, 1] onto [0, 2].
c. f(x) = –x – 1 g(x) = x – 1
f(-1) = 1 - 1= 0
f( 1) = -1 - 1 = -2
Also, g(-1) = -1 - 1 = -2
g(1) = 1 - 1= 0
These functions do not map [–1, 1] onto [0, 2].