Flag Magical Mathematics[Interesting Approach]> Let A = [–1, 1]. discuss whether the foll...
question mark

 Let A = [–1, 1]. 
 discuss whether the following functions defined on A are one-one, onto or bijective:
  f(x) = x/2
 

Pawan Prajapati , 4 Years ago
Grade 12
anser 1 Answers
Harshit Singh

Last Activity: 4 Years ago

Dear Student

f: [-1, 1] → [-1, 1],
f (x) = x/2
Let f (x1) = f(x2)
x1/ 2 = x2
Thus, f (x) is one-one.
now x∈[-1, 1]
x/2 = f (x) = [-1/2, 1/2]
Hence, the range is a subset of co-domain ‘A’
thus, f (x) is not onto.
Thus, f (x) is not bijective

Thanks

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...