This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and  cf(x) for...

Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...

In this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...

In this exponential functions worksheet, students solve and complete 13 various types of problems. First, they state whether the table represents an exponential function or not and why. Then, students graph each function and identify its...

Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.

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...

Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 

Match the graph with its function in an exercise that focuses on variations of the graph of y = e^x. Learners are given four graphs on the same set of axes and four functions, all involving e^x. The task is to match each...

Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...

In this limitations of formulas worksheet, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.

In this algebra worksheet, 11th graders calculate the domain, range, asymptote and intercepts of a quadratic function. They sketch the graph and identify the transformation. There are 4 questions in this worksheet.

Students differentiate between a relation and a function. In this algebra lesson plan, students identify a pair of coordinates as being a relation or a function. They analyze graphs for function as they solve word problems.

In this Algebra I/Algebra II learning exercise, students evaluate functions. Students graphs functions and determine the domain and range, find the sum, difference, and product of functions, find composite functions and explore the...

Students collect and graph their data. For this precalculus lesson, students identify the input and out of a function. They find the domain and range and the inverse of a function.

In this precalculus worksheet, students use their graphing calculator to graph the domain and range of given terms. They write parametric equations and identify the coordinates of the points on the relation given certain terms.

Seventh graders identify the quadrants and axis of a coordinate plane. In this algebra instructional activity, 7th graders discover the correct way to graph using the coordinate plane. They discuss the relationship between x and y...

In this equations and graphing review instructional activity, learners write, graph and solve equations for 62 problems, including a mid-unit review, with answers included.

In this college level Pre-Calculus worksheet, students determine if a given relation is a function, graph functions and observe their behavior, and determine if a function is even, odd, both, or neither.  The four page...

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...

A math model is a good model. A slide show presents 10 sample items on modeling and data analysis. Items from Smarter Balanced illustrate different ways that Claim 4 may be assessed on the 8th grade math assessment. The presentation is...

in this graphing review worksheet, students solve a variety of problems such as interpreting parabolas, identifying intercepts and asymptotes, and identifying functions. They solve piecewise functions and rational functions. This twenty...

Students graph step functions (for example, the greatest integer function), and then form the inverse function of given function. They also graph piece-wise defined functions and explain step-by-step the process. Finally, students define...

In this algebra worksheet, students identify the slope of a line, solve algebraic equations with absolute value, and identify the domain and range of given functions.  This three-page worksheet contains 21 problems.

For this inverse function worksheet, students sketch inverses, find inverse functions, confirm pairs of functions are inverses, determine functions are one-to-one, and complete tables for one-to-one functions in fifty-eight questions.