Let be a continuous function

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let f:[0,1]→onto[0,1]f:[0,1]\xrightarrow{\text{onto}}[0,1] be a continuous function. Then f(x)=xf(x)=x holds for (1) At least one x∈[0,1]x\in[0,1] (2) At least one x∈[1,2]x\in[1,2] (3) At least one x∈[−1,0]x\in[-1,0] (4) Cannot be discussed

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