Curated OER
Worksheet 9, Rational Functions
In this algebra worksheet, students tell how they would find the domain of a rational function. They find the intercepts of a rational function and graph it. Students test for symmetry, locate the asymptotes and determine where the graph...
Curated OER
Functions and Logarithms
In this function and logarithm worksheet, students use functions and logarithms to find the sum of digits in a given series. They determine the value of an expression and find the distance between the points of intersection. This...
Curated OER
Functions and Logarithms - Week 4
In this function and logarithm instructional activity, students solve function problems by finding the sum of the digits. They use logarithms to solve graphing problems and find the number of prime numbers. This three-page instructional...
Illustrative Mathematics
Identifying Even and Odd Functions
Use a worksheet to give learners practice in identifying even and odd functions. The problems on this page are also appropriate for use as assessment items, or you can use them with GeoGebra to interactively present concepts. The task is...
Flipped Math
End Behavior
Determine which way to go. Pupils learn how the leading term determines the end behavior of a polynomial function. They see how to use the end behavior of a polynomial to identify the graph of the function before practicing their skills...
Illustrative Mathematics
Graphs of Power Functions
This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs of...
Curated OER
Final Exam Review: College Algebra
For this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations. They identify the slope of a line and write linear equations. Students use Cramer's rule, graphing, substitution,...
Curated OER
Functional Analysis
Students perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
Schoolcraft College
Trigonometry
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
Curated OER
Sum and Difference angle formulas
Learners use the sum angle formula for sine to derive the sum and difference formulas for cosine and tangent. The level of difficulty is quite high. Learners must be familiar with trigonometric identities as well as the characteristics...
Curated OER
Domain and Range
In this domain and range worksheet, students solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is odd, even or...
EngageNY
Basic Trigonometric Identities from Graphs
Have young mathematicians create new identities! They explore the even/odd, cofunction, and periodicity identities through an analysis of tables and graph. Next, learners discover the relationships while strengthening their understanding...
Concord Consortium
Adding the Sines
It's a sign! Scholars analyze sine functions for patterns in their periods. The exploration advances beyond a simple function to the combination of two functions with even and odd coefficients. Their goal is to find a pattern between the...
Curated OER
Power Function Inverses
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
Curated OER
Worksheet 11 - Fall 95
In this calculus worksheet, students solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.
Curated OER
The Unit Circle
Students relate the trigonometric functions to the coordinates of the unit circle with access to explorelearning.com. They determine the signs of trigonometric functions in each quadrant.
Curated OER
Chapter 3 - Worksheet 3D
In this pre-calculus worksheet 3D, students determine if a function is even or odd. They sketch graphs of functions and find the inverse of functions. This two-page worksheet contains 18 problems.
Curated OER
Trigonometry Worksheet for Test 5
In this trigonometry activity, students look for the answers to the problems to many functions and define the terms found there.
Curated OER
Exploring Functions with CAS
Your mathematicians will examine several conjectures regarding even and odd functions and investigate a formal proof of the conjectures using CAS.
Del Mar College
Finding the Domain
Domain to a math teacher makes perfect sense, but it can seem like gibberish to high schoolers. As it is laid out in clear terms, domain is introduced and explained among all types of functions throughout the handout. The first three...
Curated OER
Trigonometry Review Sheet
Get the trig facts fast, and use the review sheet as a guide in the classroom. The worksheet also includes a document version if any changes are needed to the problems. The information includes a small degree/radian chart, a graph of all...
Curated OER
Powers of Trig Functions
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
Curated OER
Graphing Polynomials of Higher Degree
Using Wolframalpha graphing capabilites, algebra learners graph polynomials with degrees of three and larger. They identify the roots and graph each polynomial, predict zeros and shapes of graphs, and validate their understanding through...
Illustrative Mathematics
Sum and Difference Angle Formulas
Need practice deriving trigonometric angle formulas? With this worksheet, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and other known...