Worksheet
Mt. San Antonio Collage

Exponential and Logarithmic Functions

For Students 9th - 12th Standards
High schoolers grow their skills exponentially after completing this thorough worksheet. Going from simple to difficult, it hits all the major skills regarding exponential and logarithmic functions including simplifying, solving,...
Lesson Plan
Virginia Department of Education

Nonlinear Systems of Equations

For Students 10th - 12th Standards
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
Lesson Plan
Curated OER

Types of Functions

For Teachers 11th - Higher Ed
Students graph step functions (for example, the greatest integer function), and then form the inverse function of given function. They also graph piece-wise defined functions and explain step-by-step the process. Finally, students define...
Worksheet
Curated OER

Inverse Functions

For Students 9th
In this inverse functions worksheet, 9th graders solve and graph 10 different problems that include the inverse of various functions. First, they determine if the coordinates given is the inverse of a function given. Then, students use...
Worksheet
Curated OER

Inverse Functions and Relations

For Students 11th
In this inverse functions and relations instructional activity, 11th graders solve and complete 12 different problems. First, they find the inverse of each relation and determine whether the inverse is a function. Then, students find the...
Lesson Plan
Curated OER

Exercise Set 1.5: Inverse Functions

For Teachers 11th - Higher Ed
In this inverse functions worksheet, students review inverse functions. They solve 66 questions. Problems cover a wide variety of types. Students graph functions and their inverses, they identify one-to-one functions and the domains and...
Worksheet
Curated OER

The Algebra and Geometry of Inverse Functions

For Students Higher Ed
In this inverse functions worksheet, students read a tutorial and complete fourteen fill in the blank style practice problems. Students read a tutorial about the composition of functions. They answer three fill in the blank questions...
Worksheet
Curated OER

Graphing Functions

For Students 9th - 12th
In this graphing functions worksheet, students write functions in logarithmic and exponential forms.  They evaluate logarithms and determine the inverse of a function.  Students graph functions.  This six-page worksheet...
Interactive
Curated OER

Differentiation of Trigonometry Functions

For Students 9th - 11th
In this trigonometry worksheet, students differentiate the different trigonometric identities. They derive the sine, cosine, tangent and inverses of these trig identities. There are 18 questions with an answer key.
AP Test Prep10:22
1
1
Flipped Math

Calculus AB/BC - Differentiating Inverse Functions

For Students 10th - 12th
Reverse any loss of knowledge on inverse functions. Individuals watch a video to learn about differentiating inverse functions. They memorize the rule, then see how to apply it in finding derivatives and determining equations of tangent...
Assessment
EngageNY

End-of-Module Assessment Task - Algebra 2 (Module 3)

For Teachers 10th - 12th Standards
The last installment of a 35-part series is an assessment task that covers the entire module. It is a summative assessment, giving information on how well pupils understand the concepts in the module.
Lesson Plan
Curated OER

Linear Piecewise Functions

For Teachers 10th - 12th
Students explore the concept of piecewise functions. In this piecewise functions instructional activity, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function....
Worksheet
Curated OER

Chapter 3: Practice Test - Functions

For Students 10th - 11th
In this function worksheet, students find the inverse of functions, determine the horizontal asymptote of functions and graph functions. This three-page worksheet contains 27 problems.
Lesson Plan
Curated OER

US Households

For Teachers 9th - 12th Standards
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 9)

For Teachers 9th - 12th Standards
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
Assessment
Illustrative Mathematics

Temperature Conversions

For Students 9th - 12th Standards
Complete two conversions at once using compositions. Pupils use the conversion formulas for temperatures to calculate a formula to convert directly between Kelvin and Fahrenheit. Classmates determine the meanings of composition...
Worksheet
Curated OER

Quiz: Exponential Functions

For Students 10th - 12th
With this quiz, high schoolers solve 10 different problems that include various exponential functions. First, they determine where the graph of a point intersects at what origin. Then, they determine the domain and range. In addition,...
Lesson Plan
Curated OER

The UP's and Down's of Exponents

For Teachers 9th - 10th
Students explore the concept of exponents. In this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators.
Worksheet
University of North Texas

Math Exam 1 Review

For Students 9th - 12th Standards
Perfect as a review guide, this worksheet provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on other...
Worksheet
Curated OER

Math 155: Worksheet 9 - Inverse Function

For Students Higher Ed
In this inverse function worksheet, students find the derivative of functions, identify the inverse function and compute limits of the function. This two-page worksheet contains 15 problems.
Worksheet
Curated OER

Lab 5: Inverse Functions and Calculus

For Students Higher Ed
Learners identify graphical relationships between a function and its inverse using a graphing calculator. They begin by declaring the function f(x) with formula definition sin(x), then plot this function. To finishing the lab, they check...
Unit Plan
Mathematics Vision Project

Module 8: More Functions, More Features

For Teachers 8th - 10th Standards
A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...
Unit Plan
Mathematics Vision Project

Module 4: Rational Functions

For Students 9th - 12th Standards
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Assessment
Concord Consortium

Maintain Your Composition

For Students 9th - 12th Standards
Compose yourself! Learners first use given graphs of functions f and g to graph the composition function f(g(x)) and identify its value for a specific input. They then consider functions for which f(g(x)) = g(f(x)).