Domain of a polynomial

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Ben Brawn

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1 year, 7 months ago

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Ben Brawn 1 year, 7 months ago

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Ben Brawn 7 years, 11 months ago

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Ben Brawn 7 years, 11 months ago

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Ben Brawn 7 years, 11 months ago

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Name	Status	Author	Last Modified
Domain of a polynomial	Ready to use	Ben Brawn	19/10/2023 02:28
Domain of a rational function	Ready to use	Ben Brawn	09/10/2023 11:15
Domain of an exponential	Ready to use	Ben Brawn	08/04/2025 10:05
Domain of a log function	Ready to use	Ben Brawn	09/10/2023 11:17
Domain of a piecewise function	Ready to use	Ben Brawn	12/10/2023 02:17
Domain of a square root function	Ready to use	Ben Brawn	04/10/2024 05:33
Domain of a trigonometric function (radians)	Has some problems	Ben Brawn	18/10/2024 00:24
Domain of a trigonometric function (degrees)	Ready to use	Ben Brawn	16/06/2017 06:05
Quadratic Inequalities	Ready to use	Ben Brawn	22/06/2017 07:24
Quadratic Inequalities 2	Ready to use	Ben Brawn	22/06/2017 07:17
Luis's copy of Quadratic Inequalities 2	draft	Luis Hernandez	17/01/2019 19:16
Kaye's copy of Quadratic Inequalities	Ready to use	Kaye Guan	18/01/2019 00:26
Joshua's copy of Domain of a piecewise function	draft	Joshua Calcutt	02/04/2019 02:05
Function Quiz Q5	draft	Joshua Calcutt	02/04/2019 07:31
Terry's copy of Quadratic Inequalities	draft	Terry Young	03/04/2019 17:33
Terry's copy of Quadratic Inequalities 2	draft	Terry Young	03/04/2019 17:34
Function Quiz Q5 function defined by { #2 (three parts)	draft	Joshua Calcutt	24/07/2020 07:38
Maria's copy of Function Quiz Q5	draft	Maria Aneiros	25/05/2019 07:25
Maria's copy of Domain of a square root function	Needs to be tested	Maria Aneiros	05/02/2020 06:54
Maria's copy of Domain of a rational function	Needs to be tested	Maria Aneiros	05/02/2020 06:50
Maria's copy of Domain of a polynomial	Needs to be tested	Maria Aneiros	05/02/2020 06:47
Maria's copy of Domain of a trigonometric function (degrees)	draft	Maria Aneiros	25/05/2019 07:58
Maria's copy of Domain of a trigonometric function (radians)	draft	Maria Aneiros	25/05/2019 08:00
Maria's copy of Domain of an exponential	draft	Maria Aneiros	25/05/2019 08:01
Maria's copy of Domain of a log function	draft	Maria Aneiros	05/02/2020 07:14
Quadratic Inequalities	draft	Xiaodan Leng	10/07/2019 22:39
Quadratic Inequalities	draft	Xiaodan Leng	11/07/2019 02:19
Quadratic Inequalities 2	draft	Xiaodan Leng	11/07/2019 02:19
Domain of a trigonometric function (degrees)	draft	Xiaodan Leng	11/07/2019 02:21
Domain of a trigonometric function (radians)	draft	Xiaodan Leng	11/07/2019 02:22
Domain of a square root function	draft	Xiaodan Leng	11/07/2019 02:22
Domain of a log function	draft	Xiaodan Leng	11/07/2019 02:23
Domain of a rational function	draft	Xiaodan Leng	11/07/2019 02:24
Function defined by { #1	draft	Yuri Anissimov	17/07/2020 01:20
Function defined by { #2	draft	Yuri Anissimov	20/07/2020 07:07
NC Math 3 Joshua's copy of Domain of a piecewise function	draft	Terry Young	10/02/2020 19:28
Definisjonsmengden piecewise	Ready to use	Elena Malyutina	02/09/2021 11:25
Definisjonsmengden polynom	Ready to use	Elena Malyutina	26/08/2024 14:48
Ugur's copy of Domain of a rational function	Ready to use	Ugur Efem	14/01/2022 15:06
Domain of a rational function short version	Ready to use	Ugur Efem	12/01/2022 11:44

There are 73 other versions that do you not have access to.

Question statement

Given the real function below, you should be able to determine its domain.

Give any introductory information the student needs.

			Name	Type	Generated Value

out	expression	y
inp	expression	x
n	integer	5
c	list	[ -5, 0, -9, 5, 0, -11 ]
poly	string	$\var{out}\left(\var{inp}\righ
a	integer	-7
b	integer	3

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xxxxxxxxxx
 
expression(random('f','h','g','p','q','y'))

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Which of the following represents the domain of {poly}?

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$\mathbb{R}$

Marks: Distractor Message:
$(-\infty,\infty)$

Marks: Distractor Message:
$\{\simplify{{inp}}\in\mathbb{R}:\, \var{a}\leq\simplify{{inp}}\leq\var{b}\}$

Marks: Distractor Message:
$\{\simplify{{inp}}\in\mathbb{R}:\, \var{a}<\simplify{{inp}}<\var{b}\}$

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$\{\simplify{{inp}}\in\mathbb{R}:\, \simplify{{inp}}\ne \var{c[0]}\}$

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$\{\simplify{{inp}}\in\mathbb{R}:\, \simplify{{inp}}<\var{a}\, \text{or} \,\simplify{{inp}}\ge\var{b}\}$

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Advice

The function {poly} is a polynomial. Regardless of the value of $\simplify{{inp}}$ , the function $\simplify{{out}}$ will output a number. That is, the domain of $\simplify{{out}}$ is the set of all real numbers. We can write this as

$\text{dom}(\simplify{{out}})=\mathbb{R}$

or as the open interval

$\text{dom}(\simplify{{out}})=(-\infty,\infty).$

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This question is used in the following exams:

The domain of a function by Ben Brawn in Functions.
Week 1 revision by Sara Santos in Sara's workspace.
first exam by Sara Santos in Sara's workspace.
Intervals by Chris Templet in Chris's workspace.
Mid Unit Revision by Mike Phipps in Maths for STEM.
Summative Assessment (40%) - 120 minutes by Zepeng Liu in Zepeng's workspace.

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Ben Brawn 1 year, 7 months ago

Ben Brawn 7 years, 11 months ago

Ben Brawn 7 years, 11 months ago

Ben Brawn 7 years, 11 months ago

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Domain of a polynomial

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

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Ben Brawn 1 year, 7 months ago

Ben Brawn 7 years, 11 months ago

Ben Brawn 7 years, 11 months ago

Ben Brawn 7 years, 11 months ago

Error in variable testing condition

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Generated value: expression

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Generated value: `expression`