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Mathematics · JEE

Graphs of simple functions Mock Test for JEE

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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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