Percent Increase and Decrease Quiz - Page 3
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Functions Intervals of Increase or Decrease
Students will determine the intervals of increase and decrease for the functions provided as well as graph the functions and determine the relative maximum and minimums. This worksheet packet comes with a homework page at the end with four functions where students will use their calculator to determine the intervals of which the functions are increasing, decreasing, or constant.
9th - 12th
Algebra, Graphing, PreCalculus
student: HPC: CU 1B: 1.7 Day 2: Modeling with Functions
- Comparing Functions
- Maximizing a quantity
- Mixture Problems
- Percent increase/decrease problems
- Unit Conversions
10th - 12th
PreCalculus
Georgia Advanced Algebra Unit 7.5 Covers Standard FGR.8.3-Rational Graphs
Rational graphs- finding horizontal asymptotes, vertical asymptotes, and holes. No slant asymptotes here. Also, analyzing these graphs: domain, range, intercepts, increase, decrease, positive, negative. 19 total questions. All the notes. Teacher examples.
9th - 12th
Algebra, Algebra 2, PreCalculus
CALCULUS Extrema Increasing/Decreasing-Max/Min Practice-First Derivative Test
This Calculus practice focuses on the First Derivative Test and finding the intervals of increasing/decreasing and maxima/minima for functions. The levels of the problems range from beginner to Advanced Placement. Some problems ask students to find the value(s) of x for which the function obtains its maximum or minimum. Other problems ask students to find the maximum or minimum points to remind them to substitute the max and min x-values back into the original function to find what the extrem
10th - 12th, Higher Education
Calculus, Math, PreCalculus
Analyzing Graphs of Functions
This is a one-page foldable when printed front and back. The right margin cuts off so that it will fit into a composition notebook for an interactive notebook. This foldable has spaces for definitions for the following concepts:
Increasing
Decreasing
Constant
Positive
Negative
End Behavior
Absolute Maximum
Relative Maximum
Absolute Minimum
Relative Minimum
X-Intercept
Y-intercept
Average Rate of Change
These definitions are then followed by two examples with graphs. As of right now, the key i
7th - 12th, Higher Education
Algebra, Algebra 2, PreCalculus
Functions: Concept, Review, & Challenge Problems
Review packet for Functions Unit covering: Features of Functions Graphically & Algebraically - Domain - Range - Intercepts - Increasing & decreasing - Positive & negative - Relative maxima/minima - Absolute maximum/minimum - Average rate of change - Average rate of change & difference quotient - Concavity & inflection Points - Odd & even Operations & Compositions of Functions - Sum, difference, product, and quotient of functions & their domains - Composition of functions & their dom
9th - 12th
Algebra 2, PreCalculus
Matrix Word Problems DIGITAL Pick Board
In this self-checking Google Sheets™ digital activity, students will set up and solve SYSTEMS OF EQUATIONS using MATRICES to answer 9 of the 12 provided questions. To complete the assignment, students get to pick what 9 questions they want to solve. Once they answer 9 correctly, the remaining questions will disappear. HOW IT WORKS: When an answer is typed correctly, the box will turn green and the percent correct at the top of the screen will increase. If they get the answer wrong, the box
10th - 12th
Math, PreCalculus
CCSS
HSN-VM.C.6
Also included in: Matrices Printable and Digital Activities Bundle
Algebra 2 unit1 circuit review, good SAT practice, with SOLUTIONS. details below
This circuit has domain and range in interval and inequality notation, function notation, transformations, increasing and decreasing intervals, relative extrema, end behavior, and many vocabulary words embedded within (sum, product, difference). Great SAT /PSAT/ACT practice. Circuits are designed where students start with the very first cell labeled #1 and solve the problem. Find the cell that has the answer to #1 in the corner and that problem becomes #2. Repeat the process until you complete
9th - 12th
Algebra 2, PreCalculus
Function Transformations - Task Cards
Objective: To be able to graph function transformations (absolute value, quadratic, square root, cubic, and reciprocal), and use those graphs to describe relevant function behavior. Types of functions: absolute value, quadratic, square root, cubic, and reciprocal Function characteristics (no calculations need): domain, range, increasing int(s), decreasing int(s), x-int(s), y-int, vertical asymptotes, horizontal asymptotes. Types of transformations: translations, reflections (x- and y-axis only)
9th - 12th
Algebra 2, PreCalculus
Average Rate of Change (AROC) and Concavity Analysis
Students calculate and analyze how the average rate of change changes over various intervals of increasing/decreasing & concave up/down functions. Students describe if the AROC is positive or negative and if it's increasing or decreasing as you move from left to right across the interval. Pictures of the graphs with the secant lines support students' understanding of the AROC changes.
9th - 12th
PreCalculus
CCSS
HSF-IF.A.2
, HSF-IF.B.6
AP® Precalculus Unit 3.1 Periodic Phenomena Activity
Do you find that your AP ® Precalculus need more practice relating to periodic functions and finding the intervals for increasing, decreasing and concavity? Students will work through six problems to describe how to tell functions are periodic and then to describe the intervals for increasing, decreasing, concave up and concave down. ⭐Skills Required: Writing intervals for increasing and decreasingWriting intervals for concave up and downDetermining functions are periodic or not❤️Resource is Gr
9th - 12th
Algebra 2, Calculus, PreCalculus
Also included in: AP Precalculus Trignometric and Polar Functions Activity Practice Bundle
Analyzing Functions Notes and Worksheet
Guided notes and a follow up worksheet on where a graph of a function is increasing, decreasing, constant, piecewise functions, difference quotient and determining whether functions are even/odd/neither functions. Answer key included.
9th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
Also included in: Basics of Functions Unit
Graphs of Functions Digital Activity
This graphs of functions resource is a pdf download that contains a link to the file and instructions on how to use it in your classroom. In this digital resource, students will: identify the domain and range of a functionstate the intervals where the function is increasing, decreasing, or constantall by dragging a dropping the correct solution from the multiple options available. There are 8 total questions. 2 functions per slide and extra solutions to choose from. View the video preview for de
10th - 12th
Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.C.7b
Piecewise Functions Review in Pre-Calculus Honors
Piecewise Functions in Pre-Calculus Honors-Evaluating Piecewise Functions-Graphing Piecewise Functions WITHOUT A CALCULATOR-Identify domain and range-Intervals where the function is increasing, decreasing, or constant-Identify where the function is continuous over an interval-Write the absolute value function as a piecewise function-Graph the absolute value of a quadratic function and write its piecewise function-Graph functions including quadratics, the greatest integer function, and square roo
10th - 12th
Math, Math Test Prep, PreCalculus
Also included in: PreCalculus and PreCalculus Honors Review and Test Prep Bundle
Parent Functions Task Cards
This is a set of 10 parent functions task cards (paper and digital) over the following concepts: domain & rangesymmetrygraphing the functionincreasing/decreasingcontinuous/discontinuouskey values: intercepts, vertex & asymptotesThe 10 parent functions that are covered (1 task card each) are: linearquadraticabsolute valuesquare rootcubiccube rootexponentiallogarithmicreciprocalgreatest integerFor the paper version of this activity, run off the task cards on cardstock and laminate. Students use a
9th - 12th
Algebra 2, Math, PreCalculus
Also included in: Parent Functions Unit Bundle
Key Features of Function Graphs
20 function graphs from piecewise, polynomials, to rational functions are available for your students to explore: domain, range, increasing/decreasing/constant intervals, intercepts, positive/negative intervals, and average rate of change. These are key features that every Algebra 2 and college preparatory student must know.
10th - 12th, Higher Education
Algebra 2, Other (Math), PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.B.5
Characteristics of Polynomial Function Graphs Task Cards
This download includes 20 task cards with and without QR codes to identify intervals where a polynomial graph is increasing or decreasing and where it is positive and negative.
There are 8 questions that ask for x-values where the graph is increasing or decreasing and 8 cards that ask for x-values where it is positive and negative. The last 4 cards ask students to sketch graphs with given characteristics.
Task cards can be used at centers or stations, for entrance and exit tasks and for activi
7th - 10th
Algebra 2, Math, PreCalculus
Combining Function, Inverse Function, and Transformation
This is a 2-page summary worksheet on combining functions (including composition), inverse functions, properties of function (domain, range, increasing/decreasing intervals), and transformation of functions.
It is packed with graphing exercises in transformation.
This would be good for a study guide for a pre-calculus/algebra 2 test on functions or a quick review of functions in a beginning calculus class.
9th - 12th, Higher Education
Algebra 2, PreCalculus
CCSS
HSF-BF.B.3
, HSF-BF.B.4
Graphing and Interpreting Extrema
This worksheet has two problems, one polynomial and one piece-wise, and has students determine domain and range, even and odd, max and min, increasing and decreasing for each problem.
11th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.C.7
, HSF-IF.C.7a
Also included in: Pre-Calculus Unit 1: Functions
Quadratic Functions worksheet
Given the graph students are asked to identify the vertex, axis of symmetry, y intercept, x-intercept(s), intervals of increase/decrease and end behavior of the function. Students are also asked to write the function in vertex form given the graph.
8th - 12th
Algebra, Algebra 2, PreCalculus
Describing Polynomial Functions (Graphs)
Allow students practice describing the various features of polynomial functions. describe end behaviordescribe the intervals where the function is increasing and decreasingdescribe the intervals where the function is above and below zero
10th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSA-APR.B.3
, HSF-IF.A.1
, HSF-IF.A.2
+2
Also included in: Polynomial Functions Resource Bundle (PrBL PBL Unit)
Characteristics and Attributes of Functions (Algebra 2 - Lesson 2)
Notes and assignment over characteristics and attributes of functions for Algebra 2. This lesson goes over intervals where a function is increasing, decreasing, positive and negative. Identifying a function's domain and range is also required. This is typically a difficult lesson for Algebra 2 on-level students and may require 2 days to go over. TUTORIAL VIDEO included (no prep to you!) and can be found on my YouTube Channel: Mandy’s Math World - the video is on the Foundations for Functions
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.B.4
Also included in: Algebra 1 Curriculum
Functions Unit - Extrema
Looking for a lesson about the extrema of functions? Here you go! in this lesson students will learn: definition of maximum and minimumdefinition of increasing and decreasingabsolute vs relative max/minhow to Identify on a graphyou will receive a notes page that students can follow along with, a practice page that can be used for homework, and an answer key for both. This lesson was written for a general level Precalculus class but could be used in other classes.
11th - 12th
Algebra 2, PreCalculus
student: HPC: CU 1A: 1.2 Day 2: Functions and their properties
- Continuity of Functions
- Removable and nonremovable discontinuity
- Identifying points of discontinuity
- Finding Local Maximum and Minimums
- Identifying Intervals where function is increasing, decreasing, and constant
- Determining Boundedness of a Function
10th - 12th
PreCalculus
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