Given below are two statements:
Statement I: The function 
defined by 
is one-one.
Statement II: The function 
defined by 
is many-one.
In the light of the above statements, choose the correct answer from the options given below:
Text Solution
Verified by ExpertsA
Statement I: 
. For 
is strictly increasing. For 
with 
, also strictly increasing. The function is continuous at 
, so 
is strictly increasing on 
and hence one-one. Statement I is true.
Statement II: 
. The denominator 
for all 
.
. Since 
changes sign, 
is not monotonic and hence many-one. Statement II is true.
Both statements are true.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems