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Title: Injectivity, Surjectivity and Bijectivity
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Series: Start Learning Sets
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Parent Series: Start Learning Mathematics
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YouTube-Title: Start Learning Sets 6 | Injectivity, Surjectivity and Bijectivity
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Bright video: https://youtu.be/CSzJchEvfpE
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Dark video: https://youtu.be/i9ou6TObiXc
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Ad-free video: Watch Vimeo video
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Quiz: Test your knowledge
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Dark-PDF: Download PDF version of the dark video
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Print-PDF: Download printable PDF version
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Thumbnail (bright): Download PNG
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Thumbnail (dark): Download PNG
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Subtitle on GitHub: sls06_sub_eng.srt missing
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Timestamps (n/a)
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Subtitle in English (n/a)
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Quiz Content
Q1: Is the map $f: {1,2} \rightarrow {1}$ given by $f(1) = 1$ and $f(2) = 1$ injective und surjective?
A1: It’s surjective but not injective.
A2: It’s injective but not surjective.
A3: It’s injective and surjective.
A4: It’s neither injective nor surjective.
Q2: Is the map $f: {1,2} \rightarrow {1, 2}$ given by $f(1) = 1$ and $f(2) = 2$ bijective?
A1: Yes!
A2: No!
A3: One needs more information.
Q3: Consider the bijective function $f: {1,2} \rightarrow {1, 2}$ given by $f(1) = 2$ and $f(2) = 1$. What is the correct inverse function?
A1: $f^{ -1 }: {1,2} \rightarrow {1, 2}$ given by $f^{-1}(1) = 2$ and $f^{-1}(2) = 1$.
A2: $f^{ -1 }: {1,2} \rightarrow {1, 2}$ given by $f^{-1}(1) = 1$ and $f^{-1}(2) = 2$.
A3: $f^{ -1 }: {1,2} \rightarrow {1, 2}$ given by $f^{-1}(1) = 1$ and $f^{-1}(2) = 1$.
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Last update: 2024-11
