Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

If the following functions are defined from [-1, 1] to [-1, 1], select those which are not bijective.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

sinsin-1x

b

1πsin-1sinx

c

sgnxlnex

d

x3sgnx

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

fx=sinsin-1x=x∀x∈-1,1, which is one-one and onto.fx=2πsin-1sinx=2πxThe range of the function for x∈1-,1  is  -2π,2π,which is a subset of [-1, 1].Hence, the function is one-one but not onto and, hence, is not bijective.fx=sgnxlnex=sinxx=x,    x>0-x,   x<00,     x=0This function has range [0, 1] which is a subset of [-1, l].Hence, the function is into. Also, the function is many-one.fx=x3sgnx=x,    x>0-x3,   x<00,     x=0which is many-one and into.
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring