Limits from Graphs

Grade 10Math45 min

aligned to The Concept Of A Limit Includes One Sided Limits. Lim-1.c.2 Graphical Information About A Function Can Be Used To Estimate Limits. Lim-1.c.4 A Limit Might Not Exist For Some Functions At Particular Values Of X. Some Ways That The Limit Might Not Exist Are If The Function Is Unbounded, If The Function Is Oscillating Near This Value, Or If The Limit From The Left Does Not Equal The Limit From The Right.

Learning Objective

I can identify from a graph when a limit does not exist due to unbounded behavior, oscillations, or differing one-sided limits.

Lesson Flow

Watch Video

5 min

How To Evaluate Limits From a Graph

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Practice

14 min

7 questions • Short answer

Exit Ticket

5 min

Describe the behavior of the function f(x) = 1/x² as x approaches 0. Does the limit as x approaches 0 of f(x) exist? Explain why or why not. Imagine a function g(x) that oscillates infinitely many times between the values of -3 and 3 as x approaches 5. Does the limit as x approaches 5 of g(x) exist? Explain why or why not.

Teacher Guide

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