# Jeopardy: Funksjoner


:::::::::::::::{exercise} Jeopardy 1
::::::::{jeopardy-2}
:::::::{jeopardy-question}
---
category: Lineære funksjoner
points: 100
---

Hva er stigningstallet til den lineære funksjonen nedenfor?


:::{plot}
width: 50%
function: 2 * x - 1, f 
fontsize: 24
:::

::::::{jeopardy-answer}
$$
a = 2
$$
::::::



:::::::

:::::::{jeopardy-question}
---
category: Lineære funksjoner
points: 200
---
:::{plot}
width: 380
align: right
function: -3 * x + 1, f
fontsize: 26
:::



Grafen til en lineær funksjon er vist i figuren til høyre.

Bestem $f(x)$.


:::{clear}
:::

::::::{jeopardy-answer}
$$
f(x) = -3x + 1
$$
::::::




:::::::



:::::::{jeopardy-question}
---
category: Lineære funksjoner
points: 300
---
To lineære funksjoner $f$ og $g$ er gitt ved 

$$
f(x) = 
$$
:::::::






:::::::{jeopardy-question}
---
category: Andregradsfunksjoner
points: 100
---
Bestem $f(x)$ for andregradsfunksjonen nedenfor.

:::{plot}
width: 50%
function: (x - 1) ** 2 - 4, f
fontsize: 24
:::


::::::{jeopardy-answer}
$$
f(x) = (x - 3)(x + 1)
$$
::::::



:::::::


:::::::{jeopardy-question}
---
category: Polynomfunksjoner
points: 100
---
Bestem $f(x)$ for tredjegradsfunksjonen nedenfor.

:::{plot}
width: 50%
function: (x + 1) **2 * (x - 2), f
fontsize: 24
:::


::::::{jeopardy-answer}
$$
f(x) = (x + 1)^2 (x - 2)
$$
::::::


:::::::


:::::::{jeopardy-question}
---
category: Rasjonale funksjoner
points: 100
---
Bestem et mulig uttrykk for $f(x)$ for den rasjonale funksjonen vist nedenfor.


:::{plot}
width: 50%
function: (x - 1) / (x + 2), f
hline: 1
vline: -2
fontsize: 24
xmin: -7
xmax: 7
ymin: -7
ymax: 7
:::


::::::{jeopardy-answer}
$$
f(x) = \frac{x - 1}{x + 2}
$$
::::::


:::::::


:::::::{jeopardy-question}
---
category: Eksponentialfunksjoner
points: 100
---

:::::::





::::::::
:::::::::::::::




---




:::::::::::::::{exercise} Jeopardy 2


::::::::{jeopardy-2}
:::::::{jeopardy-question}
---
category: Likninger
points: 100
---

:::::::



:::::::{jeopardy-question}
---
category: Likningssystemer
points: 100
---

:::::::



:::::::{jeopardy-question}
---
category: Ulikheter
points: 100
---

:::::::



:::::::{jeopardy-question}
---
category: Programmering
points: 100
---

:::::::



:::::::{jeopardy-question}
---
category: Optimering
points: 100
---

:::::::


:::::::{jeopardy-question}
---
category: Vekstfart
points: 100
---

:::::::


::::::::



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