Tenth graders study graphing exponential functions. For this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...

In this math worksheet, students answer 7 questions regarding continuous functions, domains, differentiables, and inverse functions.

In this modeling data worksheet, students use quadratic functions to model data using three different methods.  This worksheet provides explanations and an example.  Additionally, students are given the steps to find the...

Students explore a variety of functions. They recognize and describe functions and use linear functions to describe situations. Students find the domain and range of linear functions and graph rational expressions.

In this function of two variables activity, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the equation...

Students analyze function graphs.  In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the...

Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...

Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...

Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...

Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.

Find an easier way to double it. Using the price of an item and the Consumer Price Index, learners determine how long it will be for the price to double. Scholars calculate the length of time it would take for the price to double using a...

Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.

Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.

Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...

In this composition functions worksheet, students solve 54 short answer problems.  Students find the composition of functions such as f of g and f + g.  Students find the domain of various functions.

In this domain and range worksheet, students observe a graph and identify the domain and range of given functions. Afterwards, they solve functions to identify the range. Fifteen problems are provided on this one-page worksheet.

In this domain and range worksheet, students solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is odd, even or...

In this relations and functions worksheet, 11th graders solve and complete 10 various types of multiple choice problems. First, they use the same relation between two variables as the given table to determine the value of one variable...

In this graphs of functions worksheet, students identify the domain and range of a function. They determine the vertical horizontal asymptote and find the y and x intercepts. Students sketch a graph of the function. This one-page...

In this graphing functions learning exercise, students solve four problems where they graph given functions, find the sum related to the area under the curve and determine an integral.

In this domain and range worksheet, students solve 4 short answer problems. Students find the domain and range of various functions given an equation, table of values, or graph.

In this rational functions worksheet, students identify rational functions.  They find the domain and range of each function.  Students find the x and y-intercepts of functions.  This two-page worksheet contains 35...

In this operations and functions worksheet, students add, subtract, multiply, and divide functions.  This one-page worksheet contains 18 multi-step problems. 

In this secondary mathematics worksheet, students determine the range of the average written as a function.  The one page worksheet contains one problem with the solution.