Curated OER
Quiz: Exponential Functions
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,...
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Functions and Graphs, Section 1.2
In this function worksheet, students determine if a list of given relations is a function. They evaluate functions, examine graphs of functions, and find the domain and range of the represented function. Students solve 12 function...
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Chapter 4 Test: Functions and Integers
In this functions and integers learning exercise, students combine positive and negative integers through addition, subtraction, multiplication and division. They complete function tables and graph the results of linear equations. This...
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Finding the Limit: Piecewise Functions and Graphs
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
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Definition of a Function
Get those kids to solve and graph 10 different problems that include various types of functions and their relations. They determine if each graph represented is the relation of a function then determine which value of the variable will...
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Worksheet 3 - Functions
In this function worksheet, students solve functions with a continuous derivative. This one-page worksheet contains six multi-step problems.
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Do Two Points Always Determine a Linear Function II?
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
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Piecewise-Defined Functions 2
In this Piecewise-Defined function worksheet, 10th graders identify the function for a given graph. Additionally, they find the y-intercept, y-intercept, domain, range and interval of each function. Students solve this information for...
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Composite Functions and Inverse Functions
In this function worksheet, students complete five lessons all with exercise sets, examples, and definitions, and one set of miscellaneous exercises. The concepts covers include: composite functions, inverse functions, graphs of...
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Solving Quadratic Equations by Graphing
In this quadratic equation worksheet, learners solve quadratic equations by graphing on a coordinate plane. Given the roots and maximum or minimum points, students graph a quadratic equation. This one-page worksheet contains five problems.
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Graphing and Interpreting Linear Equations in Two Variables
Graph linear equations using a table of values. Learners solve equations in two variables using standard form of an equation. They identify the relationship between x and y values.
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Worksheet 28 - Functions
In this function worksheet, students identify functions which are their own derivative. They determine the vertical and horizontal asymptotes of functions. This one-page worksheet contains seven multi-step problems.
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Piecewise-Defined Functions 1
In this piecewise-defined function, learners explore the graph of given functions and match it to the proper equation. They identify the x and y-intercepts, domain, range, and interval of each function. There are approximately ten...
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Exploration 1: Instantaneous Rate of Change Function
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
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Worksheet 27 - Functions
In this function worksheet, students sketch the graph of a nonzero function, estimate the value of an infinite sum, and determine the derivative and slope of functions. This one-page worksheet contains approximately 6 multi-step problems.
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Trig Transformations
Learners investigate trigonometric function. In this Algebra II lesson, students explore functional notation and transformational graphing of trigonometric functions.
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Building a Quadratic Function Form
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...
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Interpret Graphs of Ordered Pairs
Middle and high schoolers solve four word problems based on three different graphs of ordered pairs which show the amount of money spent on lunch on particular days. Next, learners are given two equations of functions, and an x value and...
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What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
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Interpreting Graphs
Sixth graders interpret linear and nonlinear graphs. They create graphs based on a problem set. Next, they represent quantitive relationships on a graph and write a story related to graphing.
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Quadratic Functions
For this graphing quadratic equations worksheet, students find the vertex and graph the parabola for 24 quadratic equations. The final four are factored into binomials to increase accuracy of the x intercepts.
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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...
CK-12 Foundation
Finding and Defining Parts of a Polynomial Function Graph
So many things to remember when graphing polynomials and this guide gives a helping hand to do so. The packet goes through examples and explains things like critical values, end behavior, and multiplicities. There are image links and...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
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...
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