|
|
| (16 mellanliggande sidversioner av samma användare visas inte) |
| Rad 1: |
Rad 1: |
| # Vad har funktionen för värdemängd respektive definitionsmängd? [[Fil:Repetitionsuppgift1.png|200px|right|Uppg 1]] | | # Vad har funktionen för värdemängd respektive definitionsmängd? [[Fil:Repetitionsuppgift1.png|200px|right|Värdemängd och definitionsmängd]] |
| # Vi har <math>f(x) = x^2 + 2x + 1</math>. | | # Vi har funktionen <math>f(x) = x^2 + 2x + 1</math>. |
| ## Bestäm <math>f(5)</math> | | ## Bestäm <math>f(5)</math> |
| ## Bestäm <math>f(a-3)</math> | | ## Bestäm <math>f(a-3)</math> |
| | # Bestäm parabelns ekvation utifrån grafen nedan. (Boken s 150-151)[[Fil:Repetitionsuppgift2.png|200px|right|Parabelns ekvation]] |
| | # Har <math>y(x) = -4x^2 - 2x + 1</math> några nollställen? |
| | ## Har kurvan max- eller minpunkt? |
| | ## Vad har den för symmetrilinje? |
| | # Grafen visar en exponentialfunktion på formen <math>y = C*a^x</math>. Vad har C och a för värden? [[Fil:Repetitionsuppgift3.png|200px|right|Exponentialfunktion]] |
| | # Förenkla <math>\!-7y(\!3x-\!5)+6x=\cdots</math> |
| | # Multiplicera ihop <math>\!5x^2\times\!3xy=\cdots</math> |
| | # Lös ekvationen <math> \sqrt{x+2} = 2x - 3 </math> grafiskt. |
| | # |
| | # Finn skärningspunkten mellan f(x) = (x+1000)<sup>0.5</sup> och f(x) = 1000<sup>-x</sup> |
|
| |
|
|
| |
| 2 Bestäm parabelns ekvation utifrån grafen nedan.
| |
|
| |
| <ggb_applet width="431" height="324" version="4.0" ggbBase64="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" showResetIcon = "false" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" />
| |
| {{clear}}
| |
|
| |
| 3 Har <math>y(x) = -4x^2 - 2x + 1</math> några nollställen?
| |
| # Har kurvan max- eller minpunkt?
| |
| # Vad har den för symmetrilinje?
| |
|
| |
|
| |
| 4 Grafen visar en exponentialfunktion på formen <math>y = C*a^x</math>. Vad har C och a för värden?
| |
|
| |
| <ggb_applet width="294" height="320" version="4.0" ggbBase64="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" showResetIcon = "false" enableRightClick = "false" errorDialogsActive = "true" enableLabelDrags = "false" showMenuBar = "false" showToolBar = "false" showToolBarHelp = "false" showAlgebraInput = "false" useBrowserForJS = "true" allowRescaling = "true" />
| |
| {{clear}} | | {{clear}} |
