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Important Questions: Graphs of simple functions for JEE

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The most important Graphs of simple functions questions for JEE cover conceptual traps, standard results, and numerical patterns from Graphs of simple functions. Goodmarks provides 4+ high-yield MCQs with full solutions.

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Syllabus context

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

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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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What makes a Graphs of simple functions question "important" for JEE?

Important questions test core concepts that appear frequently across JEE Main and Advanced papers — definitions, standard formulas, and classic problem types.

Which subtopics in Limit, Continuity and Differentiability are high-weightage?

Key areas include Graphs of simple functions. Prioritise these before moving to edge cases.

How many important questions should I revise?

Revise 30–50 important MCQs per unit in the last month before JEE. Focus on questions you got wrong at least once.

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