Functions and Their Graphs (PreCalculus Unit 2) | All Things Algebra®

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All Things Algebra
Grade Levels
10th - 12th
Resource Type
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  • Google Apps™
152 pages
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All Things Algebra
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The Teacher-Author indicated this resource includes assets from Google Workspace (e.g. docs, slides, etc.).

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I love All Things Algebra! Having the notes, practice, assessments, and videos makes this ideal. I had to miss a couple of weeks, and the videos were a game-changer!
Amazing! So clear and organized. These notes are perfect in every way. Examples progress in difficulty, homework has just the right number of problems, quizzes ad tests are excellently aligned.
Also included in
  1. Pre Calculus Curriculum – by All Things Algebra® What does this curriculum contain? This curriculum includes 1,000+ pages of instructional materials (warm-ups, notes, homework, quizzes, unit tests, review materials, a midterm exam, a final exam, and many other extras) for Pre-Calculus. All answer ke
    Price $230.00Original Price $320.00Save $90.00


This Functions and Their Graphs Unit Bundle includes guided notes, homework assignments, four quizzes, a study guide and a unit test that cover the following topics:

• Relations and Functions

• Implicit vs. Explicit Equations

• Function Notation

• Evaluating Functions

• x- and y-intercepts, zeros

• Critical Points (Extrema, Point of Inflection)

• Increasing and Decreasing Intervals

• Continuity, Types of Discontinuity

• End Behavior

• Tests of Symmetry

• Even and Odd Functions

• Average Rate of Change

• Parent Functions (Linear, Absolute Value, Quadratic, Cubic, Square Root, Cube Root, Reciprocal, Exponential, Logarithmic, Greatest Integer, Sine, Cosine)

• Transformations (Vertical and Horizontal Translations, x- and y-axis Reflections, Vertical and Horizontal Dilations)

• Graphing Functions (absolute value, quadratic, cubic, square root, cube root, reciprocal, and greatest integer functions only)

• Piecewise Functions

• Operations with Functions

• Compositions of Functions

• Inverse Relations and Functions

• Verifying Inverses Graphically and Algebraically


(1) Links to Instructional Videos: Links to videos of each lesson in the unit are included. Videos were created by fellow teachers for their students using the guided notes and shared in March 2020 when schools closed with no notice.  Please watch through first before sharing with your students. Many teachers still use these in emergency substitute situations.

(2) Editable Assessments: Editable versions of each quiz and the unit test are included. PowerPoint is required to edit these files. Individual problems can be changed to create multiple versions of the assessment. The layout of the assessment itself is not editable. If your Equation Editor is incompatible with mine (I use MathType), simply delete my equation and insert your own.

(3) Google Slides Version of the PDF: The second page of the Video links document contains a link to a Google Slides version of the PDF. Each page is set to the background in Google Slides. There are no text boxes;  this is the PDF in Google Slides.  I am unable to do text boxes at this time but hope this saves you a step if you wish to use it in Slides instead! 

This resource is included in the following bundle(s):

Pre-Calculus Curriculum

More Pre-Calculus Units:

Unit 1 – Fundamental Skills

Unit 3 – Power, Polynomial, and Rational Functions

Unit 4 – Exponential and Logarithmic Functions

Unit 5 – Trigonometric Functions

Unit 6 – Trigonometric Identities and Equations

Unit 7 – Polar and Parametric Equations

Unit 8 – Vectors

Unit 9 – Conic Sections
Unit 10 – Systems of Equations and Matrices
Unit 11 – Sequences and Series

Unit 12 – Introduction to Calculus

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they can not be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are a coach, principal, or district interested in transferable licenses to accommodate yearly staff changes, please contact me for a quote at

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

© All Things Algebra (Gina Wilson), 2012-present

Total Pages
152 pages
Answer Key
Teaching Duration
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