Question 1
Which of the following statements is true about the function
is one-one on its domain.
does not have an inverse on .
is decreasing on .
for all .


The IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 2 paper sat on 16 Aug 2026, in the May 2026 term: 14 questions for 51 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.
Which of the following statements is true about the function
is one-one on its domain.
does not have an inverse on .
is decreasing on .
for all .

Correct answer
for all .


—
—
—
Correct answers

—
—
is continuous at .
exists at .
is continuous at .
is bounded in a neighbourhood of .
Correct answers
is continuous at .
exists at .
is bounded in a neighbourhood of .
A written answer, not marked automatically.
A written answer, not marked automatically.
A written answer, not marked automatically.
A written answer, not marked automatically.
A written answer, not marked automatically.
A written answer, not marked automatically.
A written answer, not marked automatically.
A written answer, not marked automatically.
Which of the following statements is (are) correct?
The function is strictly increasing on .
.
The domain of is .
.
Correct answers
The function is strictly increasing on .
.
The domain of is .
Find the positive value of for which .
A written answer, not marked automatically.
A written answer, not marked automatically.