Virginia Department of Education
Transformational Graphing
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
Curated OER
Quiz: Logarithmic Functions
Explore logarithmic functions, and have pupils solve 10 different problems that include various logarithmic functions. First, they find the domain of a given function and then the range. They also consider a graph that has a limited...
Charleston School District
Tables of Linear Functions
Don't forget the tables! The previous lessons in this five-part series examined the linear equation and graph relationship. The current lesson adds tables to the mix. At completion, individuals should be able to create a table of values,...
Curated OER
Interpreting Functions
Interpreting graphs of functions is addressed in a short worksheet. Distance as a function of time is sketched on a graph, and a few quick questions ask about their meaning. This would make a good short assessment, or a nice worksheet to...
Curated OER
Graphs of Functions
Learners explore the concept of quadratic equations. In this quadratic equations worksheet, students are given the parent graph y=x^2 and must determine the equations of two quadratic equations that have been shifted.
CPM
Tables, Equations, and Graphs
Eighth and ninth graders solve and graph 24 different problems that include completing input/output tables and graphing the pairs. First, they find the missing values for each table and write the rule for x. Then, students write the...
Charleston School District
Review Unit 3: Functions
Time to show what you know about functions! The review concludes a series of nine lessons on the basics of functions. The problems included are modeled from the previous lessons. Pupils determine if a table represents a function,...
Curated OER
Graphing From Function Tables
For this graphing from function tables worksheet, learners graph given functions from a completed function table. This is a worksheet generator, the teacher can set the grid size for plotting points as well as whether or not to include a...
Curated OER
One to One Functions
In this one to one functions worksheet, students solve 27 short answer and graphing problems. Students determine if a function is one to one given a graph or an equation. Students graph functions to determine if it is one to one.
Mathematics Assessment Project
Sorting Functions
There's no sorting hat here. A high school assessment task prompts learners to analyze different types of functions. They investigate graphs, equations, tables, and verbal rules for four different functions.
Charleston School District
Sketching a Piecewise Function
How do you combine linear and nonlinear functions? You piece them together! The lesson begins by analyzing given linear piecewise functions and then introduces nonlinear parts. Then the process is reversed to create graphs from given...
Virginia Department of Education
Nonlinear Systems of Equations
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...
Mathematics Assessment Project
Functions
After identifying which of the given coordinate points fall on the graph of a line and which fall on the graph of a parabola, pupils write equations for each function.
Mathematics Assessment Project
Cubic Graph
Connect cubic graphs to equations. After connecting solutions of a cubic equation to zeros of its related cubic function, pupils investigate a translation of the cubic function.
Virginia Department of Education
Graphing Linear Equations
Combine linear equations and a little creativity to produce a work of art. Math scholars create a design as they graph a list of linear equations. Their project results in a stained glass window pattern that they color.
Curated OER
Graphing Functions
In this graphing functions activity, students solve and complete 16 various types of problems. First, they evaluate each of the limits provided. Then, students graph each of the functions and their asymptotes as given.
Curated OER
Twenty-Seven Graphing Lines, Parabolas, and Absolute Value Problems
Have learners find coordinates of point on a graph, find equations of graphs given, and graph given equations using in and out tables. There are 27 problems related to equations for lines, parabolas, and absolute value functions.
Mt. San Antonio Collage
Test 1: Functions and Their Graphs
Save the time creating an assessment because these function problems should do the trick. With 10 multi-part questions, they each focus on a different topic including radical, polynomial, linear and piecewise functions. The majority of...
Mt. San Antonio Collage
Quadratic Functions and Their Graphs
Starting with the basics, learners discover the features of a parabola and the ways to accurately graph it. After pupils practice with graphing, the end of the worksheet focuses on application type problems.
Curated OER
Exercise Set 1.5: Inverse Functions
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...
Curated OER
Domain and Range
For 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...
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,...
Curated OER
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...
Curated OER
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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