Continuous Functions Teacher Resources

Find Continuous Functions lesson plans and worksheets
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Worksheet 10: Continuous Functions

For Teachers 12th - Higher Ed
In this math worksheet, young scholars answer 7 questions regarding continuous functions, domains, differentiables, and inverse functions.
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Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions

For Students 11th - Higher Ed
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...
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Finding Limits Using Tables and Graphs

For Teachers 10th - 12th Standards
An excellent set of problems for developing limit intuition in learners, this presentation and homework set leads the class from testing basic continuous functions through to discontinuous piecewise problems. Using both table and...
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More Examples of Functions

For Teachers 8th Standards
Discrete or not discrete? Individuals learn about the difference between discrete and non-discrete functions in the fourth installment of a 12-part module. They classify some examples of functions as being either discrete or non-discrete.
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Worksheet 31 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students read the definition of continuity found in Calculus. Then they graph the functions while defining the points of continuity.
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Worksheet 5: Functions & Limits

For Students 12th - Higher Ed
In this function worksheet, students determine the limits of functions, sketch graphs, and use the Intermediate-Value Theorem for functions. This two-page worksheet contains twenty-two problems.
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Continuous Functions

For Students 12th - Higher Ed
In this continuous function worksheet, students determine the average velocity of objects over given intervals of time. They compute the derivative of functions and determine the slope of a line. This four-page worksheet contains...
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Worksheet 6: Functions

For Teachers 12th - Higher Ed
In this math worksheet, young scholars answer 7 questions having to do with continuous functions, the Squeeze Theorem, and the Product Rule for differentiation.
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A Sharper Image

For Students 11th - 12th
Not all continuous functions are differentiable. Pupils find three types of functions that are defined everywhere but not differentiable for all values of x. Along with providing examples of each type of function, students explain the...
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Melons and Melon Juice

For Students 9th - 12th Standards
Model the difference between the graphs of discrete and continuous functions. Scholars examine two scenarios and construct graphs to model the situation. They then compare their graphs that illustrate the subtle difference between these...
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Clarification and Extra Problems for Homework 10: Metric Space

For Students 12th - Higher Ed
In this metric space learning exercise, students define a compact metric space, and explore continuous functions. They prove a function converges uniformly. This one-page learning exercise contains six problems.
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Exam 1 Review Calculus with Applications

For Students 10th - 11th
In this functions worksheet, students identify the domain and range of a function.  They find the slope of a line.  Students determine the limits of an equation and note the discontinuous and continuous functions.  This three-page...
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Worksheet 1

For Teachers Higher Ed
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
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Piecewise Practice Problems

For Students 10th - 12th
For this algebra worksheet, students validate continuity of a graph by a defined interval as well as determine continuity of a piecewise function.
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Intermediate Value Theorem, Existence of Solutions: Function Exploration

For Students 11th - Higher Ed
Does the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...
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Continuous Function

For Students Higher Ed
In this continuous function worksheet, students identify continuous functions, and use limits to determine the horizontal asymptotes. This two-page worksheet contains three problems.
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Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem activity, students give antiderivatives of functions, find the area under a curve, and evaluate continuous functions. This two-page activity contains ten problems.
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Worksheet 12: Relative Maximum and Minimum

For Students 12th - Higher Ed
In this relative maximum worksheet, students determine the velocity and the relative maximum and minimum of given functions. They identify continuous functions and illustrate their graphs of functions. This three-page worksheet...
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Worksheet 4: Evaluating Integrals

For Students Higher Ed
In this integral activity, students evaluate integrals, set up definite integrals, determine distance, mass and volume, differentiate functions, and identify continuous functions This two-page activity contains approximately twenty-five...
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Math 155 - Fall 2002 Worksheet 3: Continuity

For Students 11th - 12th
In this continuity worksheet, students solve 5 short answer problems about continuity.  Students determine where functions are continuous and find the limits of functions at points of discontinuity.
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Continuity of a Function: Continuity

For Students 10th - Higher Ed
Does the point continually move along the graph? Pupils drag a line across two functions to determine whether they are continuous or not. They answer questions about the properties of continuous and discontinuous functions. Using their...
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Why Stay with Whole Numbers?

For Teachers 9th - 10th Standards
Domain can be a tricky topic, especially when you relate it to context, but here is a lesson plan that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin...
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Caclulus Worksheet: Continuity of Functions

For Students 10th - 12th
In this continuity of functions instructional activity, students solve calculus function problems.  They find the limits and determine when a function is continuous.  This one-page instructional activity contains 3 multi-step problems.
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Multivariable Calculus: Limits of Multivariable Functions

For Students Higher Ed
In this multivariable function worksheet, students find the limits of a function, identify the domain, and explore continuous functions. This two page worksheet contains explanations, definitions, and examples. There are approximately...

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Continuous Functions