Maria's copy of Is this a function?

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Maria Aneiros 5 years, 10 months ago

Created this as a copy of Is this a function?.

Name	Status	Author	Last Modified
Is this a function?	Ready to use	Ben Brawn	28/02/2025 03:37
Maria's copy of Is this a function?	draft	Maria Aneiros	25/05/2019 07:26
Is this a function?	draft	Xiaodan Leng	11/07/2019 02:27

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Question statement

Are the following, functions or not?

Give any introductory information the student needs.

			Name	Type	Generated Value

n	list	List of 20 items
equationlist	list	Nested 2×3 list
wordlist	list	Nested 2×3 list

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Name

Data type

Value

xxxxxxxxxx
 
shuffle(-10..10 except 0)

JME function reference

Description

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

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Generated value: `list`

[ -10, 2, 10, 6, -4, -1, 9, 7, -9, 3, 4, -3, 8, -6, -2, -5, 1, -7, -8, 5 ]

→ Used by:

equationlist
wordlist

This variable doesn't seem to be used anywhere.

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{equationlist[0][0]}

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Function

Distractor Message:
Not a function

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Advice

A function is a rule that assigns at most one output for each input.

For an equation such as $y=x^2+3$ , we think of $x$ as the input and $y$ as the output. Since each $x$ gives at most one $y$ value this is a function.

Since things such as $y>x$ , $y=\pm\sqrt{x}$ and ' $y=2 \text{ and } 3x$ ' give more than one $y$ value for an $x$ value these are not functions.

Graphically, the requirement that there is at most one $y$ value for each $x$ value means a curve is the graph of a function if it passes the 'vertical line test'. That is, if you draw vertical lines through the graph and each vertical line only cuts the graph at most once, the graph 'passes' the vertical line test and it represents a function.

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This question is used in the following exam:

Maths - (Functions) by Maria Aneiros in MY QUESTIONS.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Maria Aneiros 5 years, 10 months ago

Error in variable testing condition

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Generated value: `list`

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Maria's copy of Is this a function?

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Maria Aneiros 5 years, 10 months ago

Error in variable testing condition

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Generated value: list

Parts

Choose one from a list

Advanced settings

Generated value: `list`