If $f(x)=x-\left|x-x^2\right|, x \in[-1,

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

If $f(x)=x-\left|x-x^2\right|, x \in[-1,1]$. Then the number of points at which f(x) is discontinuous

Options:

Correct Answer:

Explanation:

Given function can be written as

$f(x)=\left\{\begin{array}{l}2 x-x^2 &-1 \leq x \leq 0 \\ x^2 &0 \leq x \leq 1\end{array}\right.$

Hence (1) is the correct answer.