Match the answer On one side are the two parts of the definition of a function f: X -> Y, the definitionof one-to-one and onto, and the contrapositive form of the definition of one-to-one.Match each to the correct term.For all x in Xand for all c, din Y, if f(x) = c and f(x) = d,d.then c =For all a, b in X, if f(a) = f(b),then ab.1. fis a function2. fis one-to-one (injective)For all a, b in X, if a # b,then f(a) # f(b).3. fis onto (surjective)For all y in Y, there exists xin X such that f(x) = y.For all x in X, there exists yin Ysuch that f(x) = y.

Name: Match the answer On one side are the two parts of the definition of a
Uploaded: 2024-03-20T07:06:41.000Z
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Description: Match the answer On one side are the two parts of the definition of a function f: X -> Y, the definitionof one-to-one and onto, and the contrapositive form of the definition of one-to-one.Match each to the correct term.For all x in Xand for all c, di

Definition : A function is an equation for which any x that can be plugged into the equation will…

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On one side are the two parts of the definition of a function f: X -> Y, the definition of one-to-one and onto, and the contrapositive form of the definition of one-to-one. Match each to the correct term. For all x in Xand for all c, d in Y, if f(x) = c and f(x) = d, then c = d. %3D For all a, b in X, if f(a) = f(b), then a = b. 1. fis a function %3D 2. fis one-to-one (injective) For all a, b in X, if a # b, then f(a) # f(b). 3. fis onto (surjective) For all y in Y, there exists x in X such that f(x) = y. For all x in X, there exists y in Ysuch that f(x) = y. %3D > > >