Continuity and Differentiability of Functions
Math: Calculus: Limits of Functions
Math: Calculus: Other Functions
Math: AP Calculus: AP Calculus
9-12
40 Minutes
TI-Nspire™
TI-Nspire™ CAS
Lessons
Continuity and Differentiability of Functions
Activity Overview
Students will manipulate piecewise functions to make them continuous. Once students create a continuous function, they will calculate derivatives to determine if the function is also differentiable.
Before the Activity
Download the teacher file, student worksheet, and TI-Nspire document file.
During the Activity
Encourage students to find multiple answers that make the given piecewise functions continuous.
After the Activity
Encourage students to summarize what they have learned from completing the activity.
Download Files
Before the Activity Files
Math: Calculus: Limits of Functions
Math: Calculus: Other Functions
Math: AP Calculus: AP Calculus
9-12
40 Minutes
TI-Nspire™
TI-Nspire™ CAS
Lessons
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