Potenzfunktionen

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Potenzfunktionen

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Generated value: `list`

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Match choices with answers

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Andreas Vohns 4 years, 5 months ago

Andreas Vohns 4 years, 5 months ago

Andreas Vohns 4 years, 5 months ago

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Andreas Vohns 4 years, 5 months ago

Andreas Vohns 4 years, 5 months ago

Andreas Vohns 4 years, 5 months ago

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Andreas Vohns

From users who are members of Numbas: Tutorial (DE) :

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Question statement

Gegeben sind die Graphen von vier verschiedenen Potenzfunktionen $f$ mit $f(x)=a \cdot x^z$ sowie sechs Bedingungen für den Parameter $a$ und den Exponenten $z$ . Dabei ist $a$ eine reelle, $z$ eine natürliche Zahl.

Bitte etwas Geduld beim Laden der Graphen.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	list	[ -1/5, 2/5 ]
z	list	[ 1, 2, 3 ]
ggburl	string	https://www.geogebra.org/m/wvb
graphs	list	List of 6 items
answers	list	List of 6 items
choices	list	[ 4, 0, 1, 2, 5, 3 ]

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
[-random(3..9)/20,+random(5..10)/25]

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

[ -1/5, 2/5 ]

This variable doesn't seem to be used anywhere.

Aufgabe Match choices with answers
Information only

Ask the student a question, and give any hints about how they should answer this part.

A	{graphs[choices[0]]}	B	{graphs[choices[1]]}

C	{graphs[choices[2]]}	D	{graphs[choices[3]]}

Aufgabenstellung:

Kreuzen Sie für jeden der vier Graphen (A bis D) jeweils die entsprechende Bedingung für den Parameter $a$ und den Exponenten $z$ an!

Minimum marks

Maximum marks

(no maximum)

Show correct answer on reveal?

Show score feedback icon?

Minimum answers

Maximum answers

What to do if wrong number of answers selected:

Selection type

Layout

Show choice feedback state?

{latex(answers[choices[0]])}
{latex(answers[choices[1]])}
{latex(answers[choices[2]])}
{latex(answers[choices[3]])}
{latex(answers[choices[4]])}
{latex(answers[choices[5]])}

For each combination of answer and choice, specify the number of marks to add or subtract when the student picks it.

Advice

Die erste Entscheidung sollte das $z$ betreffen: Bei einer Gerade ist es $z=1$, U-förmiger Verlauf ist $z=2$ und S-förmiger Verlauf ist $z=3$

Für $z=1$ und $z=3$ kann man jetzt prüfen: Ist der Graph streng monoton wachsend, dann ist $a>0$ korrekt, ist er streng monoton fallend, ist $a<0$ korrekt.

Für $z=2$ prüft man: Ist der Graph oben offen ($\cup$), dann ist $a>0$, ist der Graph unten offen ($\cap$), dann ist $a<0$.

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Part	Test	Passed?
Match choices with answers
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Information only

This question is used in the following exams:

{latex(answers[choices[0]])}

{latex(answers[choices[1]])}

{latex(answers[choices[2]])}

{latex(answers[choices[3]])}

{latex(answers[choices[4]])}

{latex(answers[choices[5]])}