Match and compare equations and graphs of polynomials, and identify transformations.
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Below are the sketches of two different functions. Which one matches with the equation shown below?
$${y=(x+1)(x+2)(x+4)}$$
Representing Polynomials Graphically from the Classroom Challenges by the MARS Shell Center team at the University of Nottingham is made available by the Mathematics Assessment Project under the CC BY-NC-ND 3.0 license. Copyright © 2007-2015 Mathematics Assessment Resource Service, University of Nottingham. Accessed Sept. 25, 2017, 12:17 p.m..
Is the following statement always, sometimes, or never true?
"If $${ f(x)}$$ is a cubic function and $${ f(1)=0}$$, $${f(3)=0}$$, and $${ f(4)=0}$$, then $${ f(5)}$$ could be any number but zero."
Representing Polynomials Graphically from the Classroom Challenges by the MARS Shell Center team at the University of Nottingham is made available by the Mathematics Assessment Project under the CC BY-NC-ND 3.0 license. Copyright © 2007-2015 Mathematics Assessment Resource Service, University of Nottingham. Accessed Sept. 25, 2017, 12:17 p.m..
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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The function $${y=(x-2)(x+3)^2}$$ is transformed to:
Representing Polynomials Graphically from the Classroom Challenges by the MARS Shell Center team at the University of Nottingham is made available by the Mathematics Assessment Project under the CC BY-NC-ND 3.0 license. Copyright © 2007-2015 Mathematics Assessment Resource Service, University of Nottingham. Accessed Sept. 25, 2017, 12:17 p.m..