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JEE Main Relations and Functions — practice questions — page 2

Explore 43 free Relations and Functions questions in JEE Main Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Relations and Functions questions and exercises with answers

Showing questions 31–43 of 43.

For f(x) = 2x from R to R, the function is:Read the answer and worked solution →Mapping students to roll numbers is one-one because:Read the answer and worked solution →Applying f first and then g gives the composition written:Read the answer and worked solution →If a function f is invertible, then f must be:Read the answer and worked solution →Domain, co-domain and range were first introduced in:Read the answer and worked solution →Match each term to what it meansRead the answer and worked solution →Relation or functionRead the answer and worked solution →True or false on relations and functionsRead the answer and worked solution →One-one or ontoRead the answer and worked solution →Quick picks on relationsRead the answer and worked solution →Test for an equivalence relationRead the answer and worked solution →Fill the gaps on functionsRead the answer and worked solution →Spot the one that does not fitRead the answer and worked solution →

Worked practice questions

For f(x) = 2x from R to R, the function is:

  1. Only one-one, not onto
  2. Only onto, not one-one
  3. Neither one-one nor onto
  4. Both one-one and onto
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Correct answer: D. Both one-one and onto

1. Doubling distinct reals gives distinct reals, so f is one-one. 2. Any real y is reached by taking x as half of y. 3. So over the reals the same rule is one-one and onto. _Source: syllabus Mathematics Part I, Chapter 1, Relations and Functions._

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Mapping students to roll numbers is one-one because:

  1. No two share a number
  2. All students share one
  3. Numbers repeat freely
  4. Every number is unused
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Correct answer: A. No two share a number

1. Each student in the class carries a roll number of their own. 2. No two distinct students are given the same number. 3. So the mapping is one-one. _Source: syllabus Mathematics Part I, Chapter 1, Relations and Functions._

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Applying f first and then g gives the composition written:

  1. f+g
  2. gof
  3. fog
  4. fxg
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Correct answer: B. gof

1. The composition takes an input through f, then through g. 2. It is written with the second function on the left. 3. So the result is written gof. _Source: syllabus Mathematics Part I, Chapter 1, Relations and Functions._

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More Mathematics topics

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