AP Calculus AB -Function Sketch: Continuity and Differentiability by William Linville

Teacher Prompt

wlinville1 — 2024-09-16 13:39:56 UTC

Draw a function that is discontinuous at x = 5, but continuous everywhere else. The limit exists at x =5. The function is not differentiable at x = 2 and x = 6 and the limit as x -> 6 = 5.

Teacher Prompt

wlinville1 — 2024-09-16 13:43:34 UTC

Sketch a function on [-10, 8] that has three discontinuities, one of each type. In addition, at 2 other points where the function is continuous, the function is not differentiable.

Student Example

wlinville1 — 2024-09-16 13:51:59 UTC

Student Example

wlinville1 — 2024-09-16 13:56:46 UTC