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Percent Increase and Decrease Quiz - Page 3

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Preview of Exploration Topic 3.15 for AP Precalculus - Rates of Change of Polar Functions

Exploration Topic 3.15 for AP Precalculus - Rates of Change of Polar Functions

Help your AP Precalculus students explore rates of change in polar functions in a hands-on, visual way! This introductory activity focuses on Topic 3.15: Increasing and Decreasing on Polar Functions, guiding students through table completion, graphing, and color-coded analysis to deepen understanding of function behavior. Students will: ✔ Complete a table of values for a polar function. ✔ Graph the function on the coordinate plane ✔ Plot the function on a polar grid ✔ Highlight intervals wit
Preview of Key Features of Quadratic Functions

Key Features of Quadratic Functions

This worksheet has students color and answer questions about the key features of quadratic functions. The key features include roots/zeros/x-intercepts/solutions, vertex, intervals of increase and decrease, end behavior, domain, and range. The assignment is fully editable.
Preview of Graphs and Properties of Quadratic Functions Matching

Graphs and Properties of Quadratic Functions Matching

Students will have to match each of the following to an equation of a quadratic function: vertex, y-intercept, roots, graph, table of values, axis of symmetry, and intervals of increasing, decreasing, positive, and negative. Each property can be printed on a different color card stock, laminated and then cut for the students ahead of time.
Preview of Properties of Quadratics Scavenger Hunt

Properties of Quadratics Scavenger Hunt

Created by
MathMUDtician
This scavenger hunt activity is a great way to have students review before a test of parabolas and their properties. It covers vertices, foci, axes of symmetry, increasing and decreasing, all forms of quadratics, intercepts, etc. The theme is Halloween because that is when I generally taught the material to my students.
Preview of Algebra 2 Function Analysis Practice: Rollercoaster Tycoon

Algebra 2 Function Analysis Practice: Rollercoaster Tycoon

Created by
Aarthi Vadhanam
In this worksheet, students graph their own "rollercoaster" and then answer several function-related questions, such as identifying the domain and range, absolute & relative maxima/minima, and intervals of increase/decrease. Students must also create their own axes and scale. Possible accommodation: create axes and scale before copying and handing out.
Preview of Polynomial Function Project - Roller Coaster

Polynomial Function Project - Roller Coaster

Created by
Algomath
In this project, students learn how to use polynomial function to model roller coaster rides. In this first part, they are given some polynomial functions to find the relative maximum/minimum, increasing/decreasing intervals, x- and y-intercepts, etc. They will explore the average rate of change. In the second part of the project, students are asked design their own roller coaster given some basic criteria. Students should use graphing devices/computer applications to complete this project.
Preview of Algebra 2 Calculator Review (TI-84)

Algebra 2 Calculator Review (TI-84)

Comprehensive review of all graphing calculator concepts taught through the Algebra 2 course. Review concepts include finding roots,values (x or y), mean, standard deviation, line/curve of best fit, minimums/maximums, intervals of increase/decrease, domain and range, and finding solutions to systems of equations. The review includes steps and screenshots of the calculator.
Preview of Aspects of Polynomial Graphs (handout)

Aspects of Polynomial Graphs (handout)

Created by
Smits Docs
This assignment was created in order to supplement topics that we felt our textbooks didn't cover adequately. This is an assignment that covers various aspects of polynomial graphs including: intercepts, end behavior, max/mins, domain/range, intervals of increasing/decreasing, transformations, and real/imaginary roots. It should be used after graphs of polynomials and their characteristics have been covered completely.
Preview of Attributes of Functions Homework

Attributes of Functions Homework

Created by
Emily Kelly
This file consists of 5 graphs of functions for which students are asked to give domain and range in interval notation, as inequalities and in set notation. They also are asked for intervals of x where the function is increasing, decreasing, positive, negative and constant. For some graphs, students are asked to give intervals of x for which the function is, for example, BOTH positive and decreasing. On the final graphing grid, students are asked to sketch a graph with given attributes. The l
Preview of Graphing Rational Functions Practice

Graphing Rational Functions Practice

Created by
Algebra Crazy
This is a simple review sheet that I use after introducing the basics of graphing rational functions. There are no slant asymptotes or holes included. Students are also required to describe features of the graph such as domain, range, intervals of increasing and decreasing, vertical and horizontal asymptotes. This entire unit is also available for purchase in my store.
Preview of Key Features of Polynomial Graphs Interactive Notes and Student Practice Pages

Key Features of Polynomial Graphs Interactive Notes and Student Practice Pages

Created by
Math by Miriam
After you have introduced some basic concepts about polynomial functions and their graph to students, begin introducing them to analyzing the key features of the graph: zeros, turning points, local extrema, intervals where the function is positive & negative, and intervals where the function is increasing & decreasing. These scaffolded notes and practice pages work great for students to understand this complex topic. The only thing students need besides the note or practice page you give th
Preview of Piecewise Extra Credit Activity (or regular activity)

Piecewise Extra Credit Activity (or regular activity)

Activity designed as an extra credit activity, but could be used as a supplemental activity. This activity requires students to write a piecewise function from a description, graph the function, evaluate their function for five x-values, and then answer follow up questions regarding domain, range, continuity, and increasing/decreasing/constant behavior.
Preview of Characteristics of Parent Functions

Characteristics of Parent Functions

I looked all over for a chart that shows the characteristics of the parent functions and did not come up with anything that included everything I needed so I created this chart. It is six pages with each parent function on a separate page. The characteristics are domain, range, interval of increase, extrema,end behavior, y intercept, x intercept, rate of change, and symmetry. This was extremely helpful for my students when they were comparing the parent functions using a Venn diagram and stud
Preview of Characteristics of Quadratic Functions

Characteristics of Quadratic Functions

Created by
Cristal Lopez
The students will be given two sets of problems. The first set includes two different quadratic functions, the first is a graph the second is a table. The second set includes two different quadratic functions, the first is an equation written in standard form, the second is a table. Through compare and contract the student will review y-intercepts, rate of change, discriminant, interval the function is positive, negative, interval when the function is increasing/decreasing.
Preview of Graphing Rational Functions Practice

Graphing Rational Functions Practice

Created by
Algebra Crazy
This is a simple one page review for graphing rational functions that I created for my students. They are required to graph a rational function that is in parent function form and one that is not. They also need to list features such as the horizontal and vertical asymptotes as well as domain, range, and intervals of increasing and decreasing. There is another problem where the graph is given to them and they must identify characteristics and finally two problems where they must use their unders
Preview of Characteristics of Parent Functions

Characteristics of Parent Functions

This is an activity that helps students analyze the common characteristics of the parent functions covered in an Algebra II class. The parent functions include the following: constant, linear, absolute value, quadratic, square root, cubic, cube root, reciprocal, exponential and logarithmic. Students will graph the parent functions. Then students will answer questions about intercepts, increasing/decreasing behavior, end behavior, and asymptotes. Students will be able to analyze and identify
Preview of Functions Notes (Function Families) - Algebra 2

Functions Notes (Function Families) - Algebra 2

Created by
The Engineer
This item can be used to introduce function families and the characteristics of each. It may also be used as a culminating review activity for students. I have included 2 versions of the notes: a fill-in-the-blank version and a completed version that can be given to students. Characteristics for each family include: - Domain - Range - x and y intercepts - End Behavior - Increasing & Decreasing Intervals - Asymptotes Also included for each family is
Preview of Key Features of Quadratic Functions - Notes and Homework

Key Features of Quadratic Functions - Notes and Homework

This resource is for the Common Core Algebra I curriculum. It is meant to use to teach key features of quadratic functions. Given a graph or equation of a quadratic function, the key features covered are: opening upward/downard, axis of symmetry, vertex/turning point, maximum/minimum, end behavior, x and y intercepts, intervals where the function is increasing/decreasing, domain/range, and even/odd/neither function. Students are asked to graph the parabola when the equation is given. Note: The
Preview of Functions Review Activity - Matching - Algebra 2

Functions Review Activity - Matching - Algebra 2

Created by
The Engineer
This item is a functions review activity to be used at the end of a functions unit in Algebra 2. Students look at graphs and try to match the different characteristics to each graph. Some graphs may look different but may have some of the same characteristics, which makes this activity challenging. The characteristics included are: domain, range, x and y intercepts, increasing and decreasing intervals, end behavior, and horizontal and vertical asymptotes. I like to get my students out of the
Preview of Domain and Range Application

Domain and Range Application

Students are given the domain and range of a function and must draw a graph that fits the given information. It gets progressively more challenging as it starts with a graph with a domain and range from negative infinity to infinity and then to graphs where the domain/range have some open and some closed endpoints. Students then are asked to list where their graph is increasing and where their graph is decreasing.
Preview of Intro to Quadratics Scavenger Hunt

Intro to Quadratics Scavenger Hunt

Created by
Ms Huffs Stuff
Designed to get your students up and moving around the room. Perfect for instant feedback. Intro to Quadratics Scavenger can be completely customized. Instructions for smooth edits included on the teacher info page. Pages 1 - 12: Stations Pages 13 - 15: Teacher Info sheet and Key Pages 16 - 17: Student Worksheet Skills: - finding vertices - translating from vertex to standard form - finding domain/range - finding domain of negative/positive and increasing/decreasing intervals - finding h and k
Preview of Graphing Square Root & Cube Root Functions - Algebra 2 Guided Notes

Graphing Square Root & Cube Root Functions - Algebra 2 Guided Notes

Give your students a clear and visual approach to Graphing Radical Functions with this structured Algebra 2 Guided Notes Set. These notes guide students through understanding square root and cube root functions, identifying key features, and applying transformations with confidence. Radical Functions Overview — Introduces radical functions and distinguishes between square root and cube root parent functions.Key Features of Radical Graphs — Helps students determine domain, range, end behavior,
Preview of Graphing Word Problems Homework

Graphing Word Problems Homework

Created by
Emily Kelly
This homework assignment includes three word problems for which students formulate a system of linear equations, graph them, find the solution from the graph and check their answer. Graphing grids are provided. Also, there are additional homework problems where students solve a system of linear equations by graphing and show understanding of classifying system of linear equations as inconsistent, consistent dependent or consistent independent. Lastly, a graph is provided and students are aske
Preview of End Behavior of Functions Worksheet | Polynomial Graph Analysis

End Behavior of Functions Worksheet | Polynomial Graph Analysis

This End Behavior worksheet helps students practice identifying the end behavior of functions from graphs. Students analyze several graphs and determine what happens to the function as x approaches positive and negative infinity. Students will complete statements such as: As x → +∞, f(x) → ___ As x → −∞, f(x) → ___ The worksheet includes bilingual directions in English and Spanish, making it accessible for multilingual classrooms and Spanish-speaking learners. Students will practice: Inte
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