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The three parts to this question refer to subsets of the set of real-valued continuous functions…

The three parts to this question refer to subsets of the set of real-valued continuous functions…

The three parts to this question refer to subsets of the set of real-valued continuous functions defined on the interval [0,1]. Tell which of these subsets are vector spaces. If the subset is not a vector space, identify which of the 10 criteria are not satisfied.i. All functions such that ƒ(0.5) = 2.ii. All functions such that ƒ(0.75) = 0.iii. All functions such that ƒ(0.5) = ƒ(0.75) -3