Identify features of polynomial functions including end behavior, intervals where the function is positive or negative, and domain and range of function.
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What do all of these functions have in common? What's different?
$${h(x)=x^2}$$ | $${k(x)=x^4}$$ | $${l(x)=x^6}$$ | $${r(x)=x^8}$$ |
What do all of these functions have in common? What's different?
$${t(x)=x}$$ | $${j(x)=x^3}$$ | $${m(x)=x^5}$$ | $${w(x)=x^7}$$ |
Write a function and draw a sketch that meets the constraints below.
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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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Match the graph with the equation and describe the end behavior.
1. | a. $${y=\frac{1}{2}x^2}$$ |
2. | b. $${y=x^3-8}$$ |
3. | c. $${y=-x^4-x^3+4x+2}$$ |
4. | d. $${-3x^3}$$ |
5. | e. $${3x^5-x^3+4x+2}$$ |
Algebra II > Module 1 > Topic B > Lesson 15 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.