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Curated OER
Exponential Growth versus Linear Growth II
Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson plan, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Texas Instruments
Texas Instruments: Mc Dougal Littell: End Behavior of Polynomial Functions
Students can use the TI-84 Plus family to analyze the end behavior of polynomial functions.
Khan Academy
Khan Academy: End Behavior of Polynomials
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
Savvas Learning
Math Captain: End Behavior
This site provides an explanation of the end behavior of functions. Covers end behavior as it relates to function models, rules, polynomials, asymptote, functions, and graphs.
Texas Instruments
Texas Instruments: Explore End Behavior
Guide your students to the discovery that the end behavior of a polynomial function is determined by the degree of the polynomial and the sign of the leading coefficient by using this activity from Holt, Rinehart, & Winston's Algebra...
CK-12 Foundation
Ck 12: Algebra: Graphs of Polynomials Using Transformations
[Free Registration/Login may be required to access all resource tools.] In this lesson, students apply transformations to uncommon polynomial functions. Students examine guided notes, review guided practice, watch instructional videos...
Purple Math
Purplemath: Polynomial Graphs: End Behavior
Explains how to recognize the end behavior of polynomials and their graphs. Points out the differences between even-degree and odd-degree polynomials, and between polynomials with negative versus positive leading terms.
Khan Academy
Khan Academy: Algebra I: Exponential vs. Linear Growth Over Time
Practice analyzing the end behavior of two functions that model similar real-world relationships, where one function is exponential and the other is polynomial. Students receive immediate feedback and have the opportunity to try...
Texas Instruments
Texas Instruments: Mc Dougal Littell Algebra 2: Graph Rational Functions
Students can use the TI-84 Plus family to analyze the end behavior of polynomial functions.
Illustrative Mathematics
Illustrative Mathematics: F if Running Time
This task provides an application of polynomials in computing. Students are asked to calculate the running time of algorithms for loading images of different sizes. They then graph the running time polynomials and decide which is more...
Texas Instruments
Texas Instruments: Polynomials
These questions about polynomials involve finding the zeros, writing the equation of the polynomial given the zeros, and determining the end behavior. Questions are multiple choice and true/false; solutions are provided.
Purple Math
Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.
Texas Instruments
Texas Instruments: Math Today: Humidity Makes Air Feel Hotter Iii
Investigate the relationship among humidity, air temperature, and the heat index while learning about modeling data, evaluating functions, and describing the end behavior of a function. Students will use graphing calculator technology to...
CK-12 Foundation
Ck 12: Analysis: Graphing Polynomials
[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the minimum(s), maximum(s), end behavior, domain, and range of a polynomial graph. Students examine guided notes, review guided practice,...