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Graphs of simple functions Concepts for JEE

4+ syllabus-aligned questions available

Quick answer

Master Graphs of simple functions by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Graphs of simple functions before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Graphs of simple functions is a core JEE Main Mathematics subtopic under Limit, Continuity and Differentiability. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

  • Understand the definition and scope of Graphs of simple functions in the JEE syllabus
  • Memorise key formulas and standard results linked to Graphs of simple functions
  • Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

  • Revise Graphs of simple functions with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to Graphs of simple functions and reattempt after 48 hours

Common trap

Students often rush Graphs of simple functions questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Limit, Continuity and Differentiability in JEE Main Mathematics.

Free sample questions

Attempt 4 free MCQs for Graphs of simple functions. Unlock the full bank with Pro.

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Q1MathsUnit 7: Limit, Continuity and Differentiability
Identify the graph of the polynomial function f\boldsymbol{f} f(x)=x4−2x3−x2+2xf(x)=x^{4}-2 x^{3}-x^{2}+2 x
Q2MathsUnit 7: Limit, Continuity and Differentiability
dentify a possible graph for function f\boldsymbol{f} given by f(x)=(x−2)+1\boldsymbol{f}(\boldsymbol{x})=\sqrt{(\boldsymbol{x}-\mathbf{2})}+\mathbf{1} \begin{tabular}{|l|l|l|l|} \hline a\mathrm{a} & & & b\mathrm{b} & \\ \hline & & & & \\ \hline & & & & \\ \hline c\mathrm{c} & & & d\mathrm{d} & \\ & & & & \\ \hline & & & & \\ & & & \\ \hline \end{tabular}
Q3MathsUnit 7: Limit, Continuity and Differentiability
Let f(x)=x3−12xf(x)=x^{3}-12 x be function such that the equation ∣f(∣x∣)∣=|\boldsymbol{f}(|\boldsymbol{x}|)|= n(n∈N)\boldsymbol{n}(\boldsymbol{n} \in \boldsymbol{N}) has exactly 6\boldsymbol{6} distinct real roots then number of possible values of n\boldsymbol{n} are :
Q4MathsUnit 7: Limit, Continuity and Differentiability
Identify the graph of the polynomial function f\boldsymbol{f} f(x)=x4+x3−2x2f(x)=x^{4}+x^{3}-2 x^{2} \begin{tabular}{|l|l|l|l|l|} \hline 1 & 1 & & & \\ \hline & & & & \\ \hline & & & & \\ \hline & & & & \\ \hline & & & & \\ \hline & & & & \\ \hline \end{tabular}

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Focus on core ideas across Graphs of simple functions. JEE tests application, not just memorisation.

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