Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.

Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...

Learners find out the meaning for prefixes used in math vocabulary. By dissecting words used in everyday math, they figure out what the prefix indicates and what the word means. A variety of well-organized worksheets and activities...

In this college level Pre-Calculus worksheet, students solve problems involving exponential functions.  Students determine the domain, range, y-intercept and asymptotes of exponential functions. The three page worksheet contains...

Third graders solve In and Out function problems. They analyze a chart and discuss the steps to solving the functions, and discuss the patterns and complete the charts. Students then create a book of repeating patterns using magazines,...

Learners use their graphing calculators to view graphs of equations. They tell if each equations is or is not a function and are shown pre-set graphs on their graphing calculators. They use the Quick Poll feature to indicate if the graph...

In this algebra worksheet, learners solve word problems involving money. They calculate the interest earned over a period of time given the formula. There are 28 questions.

Learners explore the concept of the inverse function. They learn that the inverse of a function is a reflections over the line y=x. Students learn how to determine if a function has an inverse. They discuss how changing the domain of a...

Students investigate linear functions. In this mathematics lesson, students plot points onto a graph by solving the equations y=x and y=mx+b by being given numbers for x and solving for y.

Graph it! Investigate transformations with a graphing calculator. Pupils graph sets of linear functions on the same set of axes. They determine how changes in the equation of a linear function result in changes in the graph.

Students graph trigonometric functions. In this precalculus lesson, students identify the properties of secant ,cosecant and cotangent. They use the unit circle as their formula to graph and analyze these functions.

In this domain and range worksheet, students identify the domain and/or range for twenty-one free-response and multiple choice problems.  The functions include trigonometric functions.  The solutions are provided.

Students practice plotting functions on the Cartesian coordinate plane while participating in a discussion about the Possible Or Not worksheet/activity. Students also use the Impossible Graphs worksheet to practice reading a graph,...

In this rate of change worksheet, students use functions to determine the velocity of an object. This two-page worksheet contains ten problems.

Sixth graders complete a function table and determine a rule for the use of one. They graph different functons from the tables. The analogy of a machine is used as an example for teaching students about functions.

In this math worksheet, students explain relationships that define even functions. They give the reason that given functions are even functions. Students describe even and odd functions.

Students explore concept of functions as relationships, as machines, as equations, and as graphs.

Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.

Fifth graders investigate the concept of a function in relationship to how it is used. The concept is essential for the future study of Algebra. They apply the use of patterns with its relationship to functions.

Students investigate the concept of a function and practice using the notation and compute the values of composite functions. They use the examples provided in the lesson plan for guided practice with scaffolding provided by the teacher.

In this function worksheet, students factor polynomials, or use the FOIL method, to simplify polynomials and determine the roots. This three-page worksheet contains ten problems. Explanations and examples are provided.

Students are introduced to the characteristics of trigonometric functions. In groups, they analyze graphs of sine and cosine to determine the lengths of a triangle. They compare and contrast the graphical and numerical characteristics...

In this algebra worksheet, students use the given values for the functions to create a pattern of solving an equation that is extended into a word problem.

In this math worksheet, students investigate the concepts of order of operations, domains, and inverse functions while using a calculator.