Question: answer each part surjective functions (= onto) Let f: A - B be a function. 1. Complete the definition: f is called surjective if VBEB

answer each part

answer each part surjective functions (= onto)
surjective functions (= onto) Let f: A - B be a function. 1. Complete the definition: f is called surjective if VBEB .... 2. Consider the function f: R- R defined by f (x) = 3x+ 2. ; ( a) Is it true that UBER we can find a value XE IR solving 3x+ 2 = 6? Yor N ? ( encircle) If NO, give a counterexample ! = ... (b) Conclusion: of is surjective of is not surjective ( encircle) 3. Consider the function f: 50, 1] - [1, 5] defined by f (x) = 3X+2. ( a ) True or false : VBE [ 1, 5] JaE [0, 1] such that fla) = B. If F , give a counterexample b = ... ( b) Conclusion : of is surjective . f is not surjective ( encircle ) 4. Consider the function f: 7 - 2 defined by f (x ) = 3x+ 2. ( a ) Is it true that every GE T has at least one preimage a E Z? Yor N? ( encircle) If NO, give a counterexample 6 =... (by Conclusion : of is surjective of is not surjective ( encircle) 5 . Let R*= {XER / x* 0} and consider the function f: RR*_R* defined by f ( x ) = * . ( a) Is it true that VBER * FaER such that fla) = 6? You N ? (encircles If NO, give a counterexample b =... ( b) Conclusion : of is surjective . f is not surjective (encircle)

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