Percent Increase and Decrease Quiz - Page 2
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Graph Analysis with the 1st Derivative Practice
Problem types: Intervals of increase and decreaseRelative extremaAbsolute extremaDerivative rules needed: Power ruleQuotient ruleChain rule
11th - 12th
Calculus, PreCalculus
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
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
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
Parent Function Characteristics Fill Ins - Notes
About this resource:This document contains 10 fill-ins that can teach and/or reinforce the concepts of parent functions. Parent functions included are: Linear, Quadratic, Cubic, Square Root, Cube Root, Absolute Value, Rational, Greatest Integer, Exponential and Logarithmic. These sheets are great for reinforcement, but would also be great for notes! Each sheet allows students to fill in the general parent function and graph along with the following characteristics:DomainRangex-intercepty-interce
9th - 12th
Algebra 2, Math, PreCalculus
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
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
Calculus Notes: The First Derivative and Extrema
A set of Calculus notes with an intro to the first derivative, including intervals of increasing/decreasing, relative extrema, and absolute extrema, as well as appropriate practice problems.
10th - 12th
Calculus, Math, PreCalculus
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
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
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
Parent Function Introduction Absolute Value Notes
I am going to be trying to implement sketch notes this year. This is my first go to introduce the graph and characteristics of the absolute value function.
One worksheet to define the absolute value equation, set up the table, graph the function and find the characteristics of absolute value including:
x-intercepts
y-intercept
Domain
Range
Vertex
Intervals of increasing
Intervals of decreasing
End Behavior LHS
End Behavior RHS
9th - 12th
Algebra 2, Math Test Prep, PreCalculus
Functions Chapter Test Review
This is the review I give to my students to prepare for their chapter test in pre-calculus Topics covered are: 1.) Domain and Range, increasing decreasing, constant intervals, bounded functions, extrema, discontinuities, and end behavior 2.) Implied domain of functions 3.) Transformations of functions 4.) Piecewise Functions 5.) Operations of functions 6.) Inverse of functions
10th - 12th, Higher Education
Math, Other (Math), PreCalculus
Analyzing Functions
Here are four examples (with a key) for analyzing functions based on: 1. x and y intercepts 2. relative maximums and minimums 3. positive and negative 4. increasing and decreasing 5. domain and range 6. end behavior
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.4
, HSF-IF.C.7a
Introductory Unit for Pre-Calculus Review Worksheet
This 4 page worksheet covers all of the material in a standard intro unit for Pre-Calc: linear equations, graphing linear equations, function identification, domain and range, extrema of functions (max, min, increasing, decreasing, constant), piece-wise functions, transformations of functions, operations on functions, combinations of functions and inverse of functions.
9th - 12th
Algebra 2, PreCalculus
CCSS
HSA-CED.A.2
, HSF-IF.A.1
, HSF-IF.C.7a
+4
Also included in: Pre-Calculus Unit 1: Functions
Characteristics of Graphs | Mystery Code Activity
Characteristics of Graphs - Mystery Code Activity Students will practice identifying characteristics of graphs including domain, range, x- and y-intercepts, extrema (minimum, maximum, point of inflection), increasing and decreasing intervals, end behavior, points and types of discontinuity (jump, removable, and infinite) and shapes of basic parent functions with this “Mystery Code Activity”. Characteristics of graphs are described on the mystery code paper. Students choose the graph (there are
9th - 12th
Math, PreCalculus
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
10th - 12th
Algebra 2, PreCalculus
Functions and Their Properties
This is notes that discuss the definition of a function and properties of functions. A worksheet and a key which include problems finding domain, range, local extrema, asymptotes, and intervals where the function increases, decreases or is constant.
CCSS: F.IF.4, F.IF.5
10th - 12th
Algebra 2, PreCalculus
Parent Functions Key Properties and Graphs Foldable Notes
This Parent Functions Graphic Organizer is a great way for your students to learn about or review the graphs and key properties of 16 Basic functions. Students determine domain, range, increasing and decreasing intervals, relative maximum and minimums, intercepts and more.This concise foldable will help your students organize and study and will become a "go to" reference for a long time. The trifold even includes its own envelope template for notebook storage. FUNCTIONS INCLUDE Identity f
9th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+7
Also included in: Algebra 2 Activity Bundle with Foldables
Derivative Product and Quotient Rules WORKSHEET | Digital and Print
Calculus students will strengthen their skills with this ready-to-go worksheet, where they find derivatives using the product rule and quotient rule. This comprehensive worksheet includes a variety of exercises that progressively increase in difficulty, allowing students to practice applying the product and quotient rules to various functions. The worksheet comes with an answer key for the convenience of the teacher, and for a digital and self-checking experience, a Google Forms version is a
11th - 12th, Higher Education
Calculus, Math, PreCalculus
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