wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The function f : R R defined by f(x) =(x - 1)(x - 2)(x - 3) is

A
one – one but not onto
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
onto but not one – one
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
both one – one and onto
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
neither one – one nor onto
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B onto but not one – one
We have, f(x) = (x - 1)(x - 2)(x - 3)
Since, 1, 2, 3 ϵ R and f(1) = 0, f (2) = 0, f(3) = 0
f is many - one
Let y ϵ R. f(x) = y implies (x-1) (x-2) (x-3) = y
x36x2+11x6y=0 y ϵ R
Thus, onto

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon