Quiz Space

Mathematics for Data Science I · Quiz 2 · 4 Aug 2024 · May 2024 term

Question 7: Consider the function : f(x) = \begin{cases} [x+1] & -3 \…

Question 7

+2 marksOne correct option

Consider the function :

f(x)={[x+1]−3≤x<00x=0{x+1}0<x≤3f(x) = \begin{cases} [x+1] & -3 \leq x < 0 \\ 0 & x = 0 \\ \{x+1\} & 0 < x \leq 3 \end{cases}

Hint: [.][.] is the greatest integer function (floor function). e.g., [−1.32]=−2[-1.32] = -2, [1.32]=1[1.32] = 1, [5]=5[5] = 5. Similarly, {.}\{.\} is the fractional part function, e.g., {1.32}=0.32\{1.32\} = 0.32, {5}=0\{5\} = 0.

Based on the above data, answer the given subquestions.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

See the whole paperTake it as a mock test

Question 7 of 18 in the IIT Madras BS Mathematics for Data Science I (Maths 1) Quiz 2 paper sat on 4 Aug 2024, in the May 2024 term (IIT M DIPLOMA AN EXAM QDD2 4 Aug 2024). It carries 2 marks.

More questions from this paper

  1. Q1Figure question
  2. Q2Figure question
  3. Q3Choose the set of correct options.
  4. Q4Consider the graphs given below: Choose the set of correct options:
  5. Q5Figure question
  6. Q6Figure question
  7. Q8Consider the function : f(x) = \begin{cases} [x+1] & -3 \leq x < 0 \ 0 & x = 0 \ {x+1} & 0 < x \leq 3 \end{cases} Hint:…
  8. Q9Consider the function : f(x) = \begin{cases} [x+1] & -3 \leq x < 0 \ 0 & x = 0 \ {x+1} & 0 < x \leq 3 \end{cases} Hint:…
  9. Q10Based on the above data, answer the given subquestions.
  10. Q11Based on the above data, answer the given subquestions.
  11. Q12Based on the above data, answer the given subquestions.
  12. Q13Calculate the limit of the following function :
  13. Q14Calculate the limit of the following function :
  14. Q15Find the limit of the following sequence.
  15. Q16Find the limit of the following sequence.
  16. Q17Answer the given sub-questions.
  17. Q18Answer the given sub-questions.