Worksheet 10: Continuous Functions
For this math worksheet, students answer 7 questions regarding continuous functions, domains, differentiables, and inverse functions.
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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
Finding Limits Using Tables and Graphs
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...
10th - 12th Math CCSS: Adaptable
Piecewise Functions, Continuity, and Differentiability
Students explore the concept of piecewise functions. In this piecewise functions lesson, students find the derivatives of piecewise functions. Students determine points of discontinuity and jumps in the graph using their Ti-89 calculator.
9th - 12th Math
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
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
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