Question: Let E be the set of all even continuous functions in C (00, 00}, under the normal operations of function addition and function scalar multiplication.

Let E be the set of all even continuous functions in C (00, 00}, under the normal operations of function addition and function scalar multiplication. Prove that E is or is not a proper subspace of C{-oo, co]. Recall: A functionfis even if for all c in its domain,f[c] =fl-c]

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