Question 1
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This Instructions is just for a reference & not for an evaluation.

The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 2 paper sat on 12 Apr 2026, in the January 2026 term: 14 questions for 48 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
Instructions has been mentioned above.
This Instructions is just for a reference & not for an evaluation.
Correct answer
Instructions has been mentioned above.
A written answer, not marked automatically.
Select all correct option(s).
If is odd and is even, then is even.
If is a strictly decreasing bijection, then is strictly decreasing.
The function defined by is one-one but not onto.
There exist functions and such that is one-one but not onto, is onto but not one-one, and is onto.
Correct answers
If is odd and is even, then is even.
If is a strictly decreasing bijection, then is strictly decreasing.
There exist functions and such that is one-one but not onto, is onto but not one-one, and is onto.


The domain of is
The range of is
Correct answers

The domain of is
Based on the above data, answer the given subquestions.
Find the maximum value of .
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
Find the maximum value of .
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A written answer, not marked automatically.
A written answer, not marked automatically.
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Correct answer
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for all .
There exists such that .
for all .
for all .
for all .
Correct answers
for all .
for all .
passes through the point .
has slope equal to .
cannot be parallel to the -axis.
cannot be parallel to the -axis.
Correct answers
passes through the point .
cannot be parallel to the -axis.
is neither continuous nor differentiable.
is continuous but not differentiable.
is not continuous but differentiable.
is continuous and differentiable.
Correct answer
is continuous and differentiable.
Based on the above data, answer the given subquestions.
A written answer, not marked automatically.