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Sporsmal til hefte: Funksjoner Oppgaver om Lineære Funksjoner 1. Hva er den generelle formen for et lineæert funksjonsuttrykk? A) \( f(x)=a x+b \) (C) \( f(x)=a+b \) 2. Hva påvirker stigningstallet (a) i en lineær funksjon? A) Hvor grafen skjærer \( y \)-aksen C) Verdien av konstantleddet

Ask by Powers Rogers. in Norway
Mar 10,2025

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1. Den generelle formen for et lineært funksjonsuttrykk er \( f(x) = ax + b \). 2. Stigningstallet \( a \) i en lineær funksjon påvirker helningen av grafen, ikke hvor den skjærer \( y \)-aksen eller verdien av konstantleddet.

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Den generelle formen for et lineært funksjonsuttrykk er \( f(x) = ax + b \), hvor \( a \) representerer stigningstallet og \( b \) er konstantleddet. Stigningstallet forteller oss hvor bratt grafen er – et høyere positivt tall betyr en brattere stigning, mens et negativt tall indikerer at grafen faller. Stigningstallet (a) påvirker hastigheten på endringene i \( y \)-verdien når \( x \) øker. Hvis du for eksempel har et stigningstall på 2, vil en enhetsøkning i \( x \) resultere i en økning på 2 enheter i \( y \). Grafen skjærer \( y \)-aksen ved verdien av \( b \) – dette er der \( x \) er lik null!

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