Rice University
College Algebra
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
Curated OER
Chapter 3: Practice Test - Functions
In this function learning exercise, students find the inverse of functions, determine the horizontal asymptote of functions and graph functions. This three-page learning exercise contains 27 problems.
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Worksheet 7.4 Function Composition
In this function composition worksheet, students find the composition of functions and state the domain. They graph relations and state the inverse. This two-page worksheet contains twelve multi-step problems.
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Logarithmic Functions
In this logarithms functions learning exercise, students learn about logarithms and answer 13 questions pertaining to logarithms. This learning exercise contains the link to a website with additional information.
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Logarithmic Functions as Inverses
In this algebra worksheet, students solve logarithmic functions. They graph their solution using log properties. There are 6 questions.
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Pre-Calculus Sudoku Puzzle
In this pre-calculus activity, student solve 35 multiple choice problems and then place the answers in a Sudoku puzzle form. This activity would be a great warm up or fun test review.
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Worksheet #2.7 MT-A141 PreCalculus
Get ready for Calculus! The class solves equations, graphs a relation defined parametrically, and gives the parametric equation for the inverse relation. They then identify the geometric relationship between two graphs.
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Domain and Range
In this domain and range worksheet, students write the definitions for relation, function, domain and range. They then find the domain and range of 7 sets of ordered pairs. Finally, students answer 4 questions regarding inverse relations...
Illustrative Mathematics
Invertible or Not?
What determines whether a function has an inverse? Learners investigate that criteria when they examine values in a partially completed input-output table for two different functions. The task is to complete the table so that one of the...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Curated OER
Worksheet 1 - Polynomials, Functions, Rates
In this polynomial worksheet, students read an assortment of story problems, determine the necessary information, and write an equation to solve the problem. Problems consist of topics dealing with area, factoring polynomials, distance,...
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Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
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Triangles Inscribed in a Circle
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra. Learners are...
Concord Consortium
Going Up
Going on up—and up and up! An open-ended task asks learners to model the movement of an amusement ride with parametric equations. They then analyze their equations to determine how the shadow of the ride's car moves as it rises at a...
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Lesson #45 Graphs of Logarithmic and Exponential Functions
Learners investigate exponential and logarithmic functions. In this Pre-calculus/Calculus instructional activity, students investigate the relationship between y = ln(x) and y = e^x. Learners graph the functions and show they are...
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Worksheet 6.7 MT-A141 PreCalculus
In this PreCalculus activity, students explore inverse relations of sine, cosine, and tangent. They graph three functions and describe the inverse function.
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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.
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Graphs of Logarithmic and Exponential Functions
Students watch as the teacher demonstrates that y=ln(x) and y=e^x are inverse functions. They graph these equations on the same axes. Students work other log functions. They learn a Reggae Song about the log of the quotient. Students...
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Inverse Relations and Functions
In this algebra worksheets, students find the inverse of a given function by switching the y with the x. They graph the different functions and identify the difference. This worksheet includes thoughtful questions and worked examples.
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Inverse Trig Functions: Chain Rule
In this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
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Inverse Variation
In this algebra learning exercise, learners find the inverse of an equations. They graph their solutions and analyze it. There are 8 questions.
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Inverse Relations
In this Algebra II worksheet, 11th graders graph functions on a coordinate plane. Students determine values for which the function is undefined and explore reciprocal functions. The one page worksheet contains thirty-two problems....
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
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Polynomial Function Exam 4
In this polynomial instructional activity, students solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three...