Domain and Range

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Needs to be tested

4 years, 11 months ago

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Johnathan Gregg 4 years, 11 months ago

Gave some feedback: Needs to be tested

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Johnathan Gregg 4 years, 11 months ago

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Johnathan Gregg 4 years, 11 months ago

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Question statement

The following diagram shows the graph of a function $f$ , with domain $-2 \leq x \leq 4$

The points $(-2,0)$ and $(4,7)$ lie on the graph of $f$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	-2
randomiser_1	integer	0
f_a	integer	0
y_coord	list	[ 0, 2, 3, 4, 7 ]
randomiser_2	integer	4
b	integer	7
x_coord	list	[ -2, 0, 2, 3, 4 ]
finvb	integer	4

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Name

Data type

Value

xxxxxxxxxx
 
x_coord[randomiser_1]

JME function reference

Description

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

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Generated value: `integer`

-2

← Depends on:

This variable doesn't seem to be used anywhere.

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

Which of the following is the correct expression for the domain of $f$ ?

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$-2 \leq x \leq 4$

Marks: Distractor Message:
$0 \leq x \leq 7$

Marks: Distractor Message:
$0 \leq y \leq 7$

Marks: Distractor Message:
$0 < y < 7$

Marks: Distractor Message:

Advice

In part (a) remember that the range refers to the possible y values and so the correct answer is $0 \leq y \leq 7$ don't forget to use less than or equal to signs.

In part (b) you should find the y-coordinate on the graph corresponding to the x-coordinate {a}. In this case {f_a}

In part (c) you are dealing with the inverse function and so should do the reverse. Given y-coordinate {b} find the corresponding x-coordinate {finvb}.

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This question is used in the following exams:

End of Year IB1 Exam HL by Johnathan Gregg in Johnathan's workspace.
End of Year IB1 Exam SL by Johnathan Gregg in Johnathan's workspace.
End of Year Exam by Johnathan Gregg in Johnathan's workspace.

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Taxonomy: mathcentre

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Taxonomy: Context

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Checkpoint description

Johnathan Gregg 4 years, 11 months ago

Johnathan Gregg 4 years, 11 months ago

Johnathan Gregg 4 years, 11 months ago

Error in variable testing condition

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Generated value: `integer`

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Domain and Range

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Johnathan Gregg 4 years, 11 months ago

Johnathan Gregg 4 years, 11 months ago

Johnathan Gregg 4 years, 11 months ago

Error in variable testing condition

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Warning

Generated value: integer

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Advanced settings

Generated value: `integer`