1.

Let f be a function on R given by \[f(x)={{x}^{2}}\] and let \[E=\{x\in R:-1\le x\le 0\}\] And \[F=\{x\in R:0\le x\le 1\}\] then which of the following is false?

A. \[f(E)=f(F)\]
B. \[E\cap F\subset f(E)\cap f(F)\]
C. \[E\cup F\subset f(E)\cup f(F)\]
D. \[f(E\cap F)=\{0\}\]
Answer» D. \[f(E\cap F)=\{0\}\]


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