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Chapter 1.1
Finding limits from graphs
What You'll Learn
Interpret graphs to determine where a function is approaching as x nears a value
Distinguish between one-sided limits (left-hand and right-hand) using graph analysis
Recognize when a two-sided limit exists by comparing left and right-hand limits
Differentiate between the limit of a function and the value of a function at a point
Identify when limits do not exist due to conflicting one-sided behavior
What You'll Practice
1
Finding left-hand and right-hand limits from piecewise graphs
2
Determining if two-sided limits exist by comparing directional approaches
3
Evaluating function values at points with hollow and solid dots
4
Analyzing graphs with discontinuities and jump behaviors
Why This Matters
Understanding limits graphically is the foundation for all of calculus. This skill helps you analyze function behavior near critical points, which is essential for studying continuity, derivatives, and integrals in advanced math courses.
This Unit Includes
5 Video lessons
Skills
Limits
One-Sided Limits
Two-Sided Limits
Graph Analysis
Continuity
Function Values
Calculus Foundations
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