Question

find the range of the following functions given by f(x) = 1 -| x - 2|​

Answer 1

(-infinity, 1) is the range.

Answer 2

[- ∞,1]

Explanation:

f(x) = 1 -| x - 2|

domain: x€R

case1 : when x>=2 ;

f(x) = 1-x+2 = 3-x

therefore,Range = [-∞,1]

case2: when x<=2 ;

f(x) = 1-(-x-2) = 1+x-2 = x-1

therefore,Range = [-∞,1]

Hence, the range of given function is [-∞,1]

• Hope this will help you.