Question

Find the range of f(x)
f(x) = x+4 / I x+4 I

Answer 1

Step-by-step explanation:

f(x)=

x−4

∣x−4∣

Let y=

x−4

∣x−4∣

Case I: When x>0

Then, ∣x−4∣=x−4

y=

x−4

x−4

∴ y=1 --- ( 1 )

Case II: When x<0

Then, ∣x−4∣=−(x−4)

y=

x−4

−(x−4)

∴ y=−1 --- ( 2 )

From ( 1 ) and ( 2 ),

Required range is {1,−1}