Mathematics, 18.04.2020 04:31 Seventhhokage465
For each of the following functions, determine if they are injective. Also determine if theyare surjective. Also determine if they are bijective. No justification needed. The firstthree have already been filled out for you, as an example. Also, recall interval notation:[a, b] ={x∈R:a≤xandx≤b}. You should be able to come up with a similar definitionfor (a, b) and (a, b] and [a, b).1.f:R→R, f(x) =x2.f:R≥0→R, f(x) =x+ 13.f:R≥0→R, f(x) = cos(x)4.f:R→R, f(x) =ex5.f:R→R, f(x) =2xifx≥0−x2ifx <0.6.f:R→(0,[infinity]), f(x) =ex7.f:R≥0→R≥0, f(x) =x48.f:{−1,2,−3}→{1,4,9}, f(x) =x29.f:R≥0→[−1,1], f(x) = cos(x)10.f: [0,π]→[−1,1], f(x) = cos(x)11.f:R≥0→[−1,1], f(x) = 012.f: US Citizens→Z, f(x) = the SSN ofx.13.f: US Zip Codes→US States, f(x) = The state thatxbelongs to.
Answers: 3
Mathematics, 21.06.2019 15:00
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For each of the following functions, determine if they are injective. Also determine if theyare surj...
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