1. Determine whether the function ƒ(x) = x² + 6x +9 is continuous at x = -2. Sketch its graph illustrating its continuity or discontinuity. Solution: Step 1: Evaluate the function f(x) = x² + 6x + 9 at x = -2 Step 2: Find lim (x² + 6x + 9) = _ x--2 Step 3: What did you observe between the values of f(-2) and lim f(x)? X--2 Conclusion: Illustrate the graph: y X

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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1. Determine whether the function f(x)= x² + 6x + 9 is continuous at x = -2.
Sketch its graph illustrating its continuity or discontinuity.
Solution:
Step 1: Evaluate the function f(x) = x² + 6x + 9 at x = -2
Step 2: Find lim (x² + 6x + 9) = _
X-2
Step 3: What did you observe between the values of f(-2) and lim f(x) ?
X-2
Conclusion:
Illustrate the graph:
y
Transcribed Image Text:1. Determine whether the function f(x)= x² + 6x + 9 is continuous at x = -2. Sketch its graph illustrating its continuity or discontinuity. Solution: Step 1: Evaluate the function f(x) = x² + 6x + 9 at x = -2 Step 2: Find lim (x² + 6x + 9) = _ X-2 Step 3: What did you observe between the values of f(-2) and lim f(x) ? X-2 Conclusion: Illustrate the graph: y
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