In this continuous function worksheet, students examine a graph. They determine a rate during an interval of time. This one-page worksheet contains five multi-step problems.
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Making Piecewise Functions Continuous and Differentiable
Students explore the concept of piecewise functions. In this piecewise functions lesson, students discuss how to make a piecewise function continuous and differentiable. Students use their Ti-89 to find the limit of the function as it...
11th - 12th Math
Module 5: Features of Functions
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas like...
8th - 10th Math CCSS: Designed
Continuous Compounding Interest
My great-great-great-grandfather would owe how much? The resource provides a scenario of finding the amount due on a library fine compounded continuously one hundred years later. The presenter substitutes values into the exponential...
3 mins 11th - Higher Ed Math CCSS: Adaptable
Distinguish Between Discrete and Continuous Graphs
Most of us always feel the need to connect the dots together. Wait! Sometimes the graphs are discrete and do not make any sense if they are plotted together. Young adults learn the difference between discrete and continuous graphs, and...
5 mins 8th - 11th Math CCSS: Designed
Continuity and Differentiability 1
Pupils examine graphs for continuity and differentiability in this calculus lesson. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...
9th - 12th Math CCSS: Designed
Continuity at a Point, Continuity Test, Types of Discontinuity: Properties of Continuous Functions
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...
11th - Higher Ed Math
Graphs for Discrete and for Continuous Data: Discrete vs. Continuous Data
Not all data is the same. Using the interactive, pupils compare data represented in two different ways. The learners develop an understanding of the difference between discrete and continuous data and the different ways to represent each...
7th - 12th Math