Definition of a function (A-level only) Flashcards","topicId":"30b55416-ec43-49c6-9a52-414579d9ee97","topicSlug":"definition-of-a-function","cards":[{"id":"e86692ab-99bf-4e8f-90b1-1b2038fd7044","cardType":"basic","front":"

Can two different inputs have the same output in a function?

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Yes. Each input still has exactly one output.

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Why is a mapping not a function if one input has two outputs?

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A function assigns each input exactly one output.

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Why is a mapping not a function if a domain element has no output?

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Every permitted input must have an output.

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The set of all permitted inputs is the [ ].

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The set of all permitted inputs is the domain.

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The declared target set for the outputs is the [ ].

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The declared target set for the outputs is the codomain.

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The set of outputs actually produced is the [ ].

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The set of outputs actually produced is the range.

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How are the range and codomain related?

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The range is a subset of the codomain.

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In $f:A\\to B$, $A$ is the [ ] and $B$ is the codomain.

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In $f:A\\to B$, $A$ is the domain and $B$ is the codomain.

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What does $f(x)$ represent?

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The output of $f$ for input $x$.

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Does $f(x)$ mean $f$ multiplied by $x$?

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No. It denotes the function's output at $x$.

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If $f(a)=b$, then $b$ is the [ ] of $a$.

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If $f(a)=b$, then $b$ is the image of $a$.

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If $f(a)=b$, then $a$ is a [ ] of $b$.

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If $f(a)=b$, then $a$ is a preimage of $b$.

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For $f(x)=2x-1$ on domain $\\{0,2,5,8\\}$, what is the range?

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$\\{-1,3,9,15\\}$

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For $f(x)=x^2+1$, what is the image of $2$?

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$5$

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For $f(x)=x^2+1

1.3.3 Definition of a function (A-level only) Flashcards

1.3.3 Definition of a function (A-level only) Flashcards