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Disjoint

ntLet A be th...

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ntLet A be the set of all quadrilaterals in a plane and R+ be the set of positive real numbers. Prove that the function f:A→R+ defined by f(x) = area of quadrilateral x, is many-one and onto.n

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A = Z ∖ {0}

f : A \to R

f (x) = \frac{| x |}{x}, x \in A

R

f : [- 1, 1] \to R

f (x) = ⎧ ⎨ ⎩ \begin{matrix} x sin \frac{1}{x}, x \neq 0 0, x = 0 \end{matrix}

f : R \to R

f (x) = x^{2}

f

f : R \cdot \to R \cdot

f (x) = \frac{1}{x}

R \cdot

R \cdot

N

R \cdot

R

f : R \times R \to R

f (x, y) = (x + y, x - y)

f

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