Test II. Determine whether the function f(x) x +6x + 9 is continuous at x = -2. Sketch its graph illustrating its continuity or discontinuity. Solution: Step 1: Evaluate the function f(x) = x +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:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Test II. 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:
Transcribed Image Text:Test II. 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:
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