1. In your own words, what does it mean for a function to be continuous at x = a. 2. In the figure below, identify which x corresponds to the following point of discontinuity: • Jump Hole (Removable) Infinite (VA) 5+ y = flx) 3 + 5 3. Suppose a rational function is undefined for a certain x-value. How can you tell if the function has a hole (removeable discontinuity) or a vertical asymptote?
1. In your own words, what does it mean for a function to be continuous at x = a. 2. In the figure below, identify which x corresponds to the following point of discontinuity: • Jump Hole (Removable) Infinite (VA) 5+ y = flx) 3 + 5 3. Suppose a rational function is undefined for a certain x-value. How can you tell if the function has a hole (removeable discontinuity) or a vertical asymptote?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:1. In your own words, what does it mean for a function to be continuous at x = a.
2. In the figure below, identify which x corresponds to the following point of discontinuity:
Jump
Hole (Removable)
Infinite (VA)
y = flx)
7
3. Suppose a rational function is undefined for a certain x-value. How can you tell if the function has
a hole (removeable discontinuity) or a vertical asymptote?
4. Write the Definition for Continuity at a Point (page 180).
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