Inverse Function Teacher Resources
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Cuemath
Cuemath: Reciprocal Function
Explore the world of reciprocal functions in this mini-lesson. Discusses a definition its domain and range, graphing of the reciprocal function, solved examples on reciprocal functions, and interactive questions.
Math Is Fun
Math Is Fun: Working With Exponents and Logarithms
Clearly presented explanation of how logarithms and exponents work together, the properties of logarithms, the natural logarithm and the natural exponential functions, the common logarithm, changing the base, and real-world applications...
Sophia Learning
Sophia: Inverse Sine
This video tutorial introduces and provides examples of the inverse sine function. The lesson demonstrates how to use the inverse sine ratio to solve for an unknown angle in a right triangle.
Khan Academy
Khan Academy: Trigonometry: Evaluate Inverse Trig Functions
Given a sine, cosine, or tangent value, find the principle angle that has this value. In other words, find the arcsine, arccosine, or arctangent of that value. Students receive immediate feedback and have the opportunity to try questions...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Inverse Trigonometric Functions
Sixteen problems present a variety of practice working with inverse trigonometric functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
Illustrative Mathematics
Illustrative Mathematics: F if Your Father
This is a simple task which has students analyze functions where they assign a father to each student. It addresses the idea that not all functions have real numbers as domain and range values, and the issue of when a function admits an...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Familia De Funciones. Tipos Y Operaciones
In this unit you will work interactively with family of lines, parabolas, radical functions and trigonometric functions. You will also learn about operations with function, composition of functions and the inverse of a function.
Other
Karl's Calculus Tutor: Derivative of Inv. Trig Functions
This site provides a general overview of the derivative of inverse trig trunctions. Content includes a proof, exercises, and more.
Illustrative Mathematics
Illustrative Mathematics: F Bf Temperature Conversions
In this task involving temperature conversions, students compose and solve functions. Unit conversion problems provide a rich source of examples for the composition of functions and for inverses. Aligns with F-BF.A.1.c and F-BF.B.4.a.
Khan Academy
Khan Academy: Determining Whether a Transformation Is Onto
Shows how to determine if a linear transformation is onto by showing that the columns of the transformation matrix span the co-domain.
Khan Academy
Khan Academy: Solve Sinusoidal Equations (Basic)
Solve equations of the form sin(x)=d or cos(x)=d where d is any number. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Algebra: Composition of Functions
[Free Registration/Login may be required to access all resource tools.] This lesson describes and demonstrates composition of functions. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Math Medics
S.o.s. Math: Logarithms and Exponential Functions
This tutorial contains 13 lessons on logarithms and exponential functions including exponential shortcuts and rules, graphs and rules of logarithms, and many more.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Familia De Funciones
Ministerio de Educacion y Ciencia: familia de funciones
CK-12 Foundation
Ck 12: Algebra: Fractional Exponents
[Free Registration/Login may be required to access all resource tools.] This lesson introduces rational exponents and how to relate them to nth roots.
Other
Nearpod: Relationship of Exponents & Logarithms
In this instructional activity, young scholars will learn how exponents and logarithms are connected and how to evaluate logarithms.
CK-12 Foundation
Ck 12: Algebra: Factorization of Quadratic Expressions
[Free Registration/Login may be required to access all resource tools.] Factor quadratic expressions in which the coefficients a, b, and/or c are negative.
CK-12 Foundation
Ck 12: Composition of Inverse Reciprocal Trig Functions
[Free Registration/Login may be required to access all resource tools.] On this site students learn about the composition of inverse trigonometric functions. Students read about inverse reciprocal functions, watch a video about the topic...
Other
Using Function Composition to Verify Two Functions Are Inverses
This video from college professor Daniel Kopsas examines how to verify by composition that two functions are inverses of each other. [4:08]
CK-12 Foundation
Ck 12: Analysis: Functions and Inverses
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find the inverse of a function. Students examine guided notes, review guided practice and attempt practice problems.
Other
Humble Isd: Determine if 2 Functions Are Inverses by Compositions [Pdf]
This slideshow explains how to verify by composition that two functions are inverses of each other.
Wolfram Research
Wolfram Math World: Inverse Hyperbolic Functions
This site defines the six fundamental hyperbolic fucntions and contains related links. Also provides graphs and pictures for further understanding.
Purple Math
Purplemath: Proving That Two Functions Are Inverses of Each Other
This resource explains how to verify that two functions are inverses of each other.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Funciones Inversa
In Spanish. In this interactive unit learn how to recognize a function from a graph, determine graphically and analytically the domain and the range and find the inverse of a function.
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