Rational functions 2

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Johnathan Gregg

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From users who are members of Johnathan's workspace :

Johnathan Gregg

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Needs to be tested

4 years, 11 months ago

From users who are not members of Johnathan's workspace :

Mauricio Alex Fernando Gallardo Caballero

said

Ready to use

4 years, 10 months ago

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Mauricio Alex Fernando Gallardo Caballero 4 years, 10 months ago

Gave some feedback: Ready to use

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Johnathan Gregg 4 years, 11 months ago

Published this.

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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

Created this.

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Question statement

Let $f(x) = \frac{ \var{a} x + \var{b}}{ \var{c} x- \var{d} }, x \ne \frac { \var{-d} }{ \var{c}}$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	12
c_list	list	[ 2, 2, 3, 3, 3, 4, 4 ]
b	integer	2
d_list	list	[ 1, 3, 1, 2, 4, 1, 3 ]
randomise_question	integer	5
c	integer	4
d	integer	1

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Name

Data type

Value

xxxxxxxxxx
 
3*c

JME function reference

Description

a in function (ax - b)/(cx + d)

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

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Generated value: `integer`

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Part b) Gap-fill
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2. Gap ycoord Number entry
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Part c) Match text pattern

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Write down the equation of the vertical asymptote.

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In part (a) the vertical asymptote can be found by noting where x is undefined (the value of x which makes the denominator zero. $x = - \frac{ \var{d} }{ \var{c} }$ .

In part (b) the y-intercept corresponds to the function evaluated when $x = 0$ . The y-coordinate is given by $\var{b} \div \var{-d}$ .

y-intercept is $(0, -\frac {\var{b}}{\var{d}})$

In part (c) the horizontal asymptote is the behaviour of the function as $x \to \infty$ which approaches $\frac{ \var{a} }{ \var{c} }$

horizontal asymptote is, therefore, $y = 3$ .

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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 Exam by Johnathan Gregg in Johnathan's workspace.
Aros Toets_2 by Marius Van Rooyen in Marius's workspace.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Mauricio Alex Fernando Gallardo Caballero 4 years, 10 months ago

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`

Parts

Match text pattern

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Rational functions 2

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Mauricio Alex Fernando Gallardo Caballero 4 years, 10 months ago

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

Error

Warning

Generated value: integer

Parts

Match text pattern

Advanced settings

Generated value: `integer`