Curated OER
Exponential Reflections
Explore the natural log function through the investigation of inverse of the exponential functions by plotting the inverse of the exponential solution points. Students examine the results to determine that the inverse is the...
Curated OER
Worksheet 10, Functions and Inverses of Functions
In this algebra worksheet, students find the domain and range of composite functions. They use graphics from an unspecified text to create the graph of the inverse of the drawn function.
EngageNY
Restricting the Domain
But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...
Illustrative Mathematics
Accuracy of Carbon 14 Dating II
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and...
Rice University
Algebra and Trigonometry
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Curated OER
Very Varied - Inverse variation
Young scholars identify inverse variations. In this inverse variation instructional activity, students explore graphs and identify the inverse variation. They write equations for the inverse variation. Young scholars compare and...
Curated OER
Derivatives of Inverse Functions
In this derivatives learning exercise, students use the chain rule to show equalities between functions. They read a tutorial that guides them through the process of using the chain rule to find derivatives. This learning exercise...
Curated OER
Finding the Inverse from a List or Function
In this algebra worksheet, students reverse the numbers of a list to determine the inverse or start with a function to find the inverse. There are 4 questions.
Curated OER
Algebra II Test Chapter 3: Slope & Functions
In this slope and functions instructional activity, students determine the slope of a line. They identify functions and determine an equation of a line that is parallel or perpendicular to given points. This three-page...
Curated OER
Graphing Functions
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...
University of North Texas
Math Exam 1 Review
Perfect as a review guide, this learning exercise provides a range of questions focusing on functions. Topics include composing functions, transformations, domains, and polynomials. Also included are corresponding worksheets focusing on...
Curated OER
Inverse of a Function
In this inverse of function instructional activity, 10th graders solve and graph 10 different problems that include graphically represented inverse functions. First, they solve each of the problems involving graphs and their inverses....
Curated OER
Types of Functions
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...
Curated OER
Review of Calculus BC I
In this review worksheet, learners match a function to the proper description. they identify the domain of a function. Students determine the slope of an inverse function. They find the derivative of given...
Curated OER
Reciprocals of Quadratic Functions
Eleventh graders investigate inverse functions. For this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
Curated OER
Math Honors 2: Semester 1 Review
In this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
Curated OER
Differentiation of Trigonometry Functions
In this trigonometry worksheet, learners 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.
Curated OER
Derivatives Of The 6 Inverse Trig Functions
Pupils investigate the derivatives of the Six Inverse Trigonometric Functions. They apply the six formulas to inverse function problems that are given in the lesson. Students can take part in using the example problems for independent...
Curated OER
Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
Virginia Department of Education
Logarithmic Modeling
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Curated OER
Discussion Sheet 9: Functions and Limits
In this function and limits worksheet, students identify a one-to-one correspondence and identify an inverse function. They compute limits of functions. This two-page worksheet contains five multi-step problems.
Curated OER
Calculus Inverse Derivative
Students solve equations using a given derivative. In this calculus lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.
Curated OER
Inverse of Logarithms
In this algebra worksheet, students define inverse functions and solve for the inverse of logarithmic equations. There are 20 logs and graphing questions with an answer key.
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