In this functions and integers worksheet, students combine positive and negative integers through addition, subtraction, multiplication and division. They complete function tables and graph the results of linear equations. This six-page...

This pre-calculus instructional activity 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...

In this function worksheet, students solve functions with a continuous derivative. This one-page worksheet contains six multi-step problems.

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.

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...

In this function instructional activity, 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,...

In this quadratic equation worksheet, students 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.

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.

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.

In this piecewise-defined function, students 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...

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.

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.

Learners investigate trigonometric function.  In this Algebra II lesson, students explore functional notation and transformational graphing of trigonometric functions. 

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...

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...

Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.

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.

In 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.

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...

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...

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...

Your transformers will create and analyze graphs to discover which operations produce which transformations. Linear and exponential functions are used to model the transformations.

Use a graphing lines worksheet to have your mathematicians graph the line of a given equation and plot specified points. The first 10 problems have a given equation, and two values. The next 10 problems have a given equation, but your...

Take a closer look at continuous functions within given intervals. Using the parent cubic function, learners explore properties of continuous functions on intervals. Pupils interpret the Intermediate Value Theorem and the Extreme Value...