QUESTION 1 (1.1) Let f: R→ R be defined by f(x) = x². (1.1.1) Is f one-to-one? Explain. (1.1.2) Is f onto? Explain. (1.2) Let f: X→ Y be a function and let A, B C X. Prove that ƒ(AUB) = f(A) U ƒ(B).

Q: 6. S is the set {(r,y): 0 << 1, 0Sy<1} in R2. The function f: R?R? is given by f(v) = Av. (a) Sketch…

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A: g(x)=ecos(x)x1+tan x2and xr,s=sr5+ln1+s.To Find: Let hr,s=gxr,s then evaluate hs1.2,0.

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Q: Consider f : R → R given by f(x) = x². What are the domain, codomain and range of f?

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A: This is a problem of metric space, real valued function.

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