Click and drag the steps in the correct order to show that 3x² + x + 1 is e(x²). You must provide an answer before moving to the next part.) 3x² + x + 1 is 0(3x²) since 3x² is 0(3x² + x + 1) since Thus, 3x² + x + 1 is 0(3x²). 3x²3x² + x + 1 for x > 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 60RE
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Ch 03 Sec 2 Ex 34 (a) - Proof with Big O
Click and drag the steps in the correct order to show that 3x² + x + 1 is e(x²).
(You must provide an answer before moving to the next part.)
3x² + x + 1 is 0(3x²) since
3x² is 0(3x² + x + 1) since
Thus, 3x² + x + 1 is 0(3x²).
3x² ≤ 3x² + x + 1 for x > 0.
Take k = 1, C₁ = 1, and C₂ = 2.
Take k = 0, C₁ = 1, and C₂ = 0.
Then, 1.3x² ≤ 3x² + x + 1 ≤ 2.3x² for all
x > 0.
3x² + x + 1 ≤ 3x² + 3x² = 23x² for all x
> 1.
Then, 1.3x² ≤ 3x² + x + 1 ≤ 2.3x² for all
x> 1.
Transcribed Image Text:Ch 03 Sec 2 Ex 34 (a) - Proof with Big O Click and drag the steps in the correct order to show that 3x² + x + 1 is e(x²). (You must provide an answer before moving to the next part.) 3x² + x + 1 is 0(3x²) since 3x² is 0(3x² + x + 1) since Thus, 3x² + x + 1 is 0(3x²). 3x² ≤ 3x² + x + 1 for x > 0. Take k = 1, C₁ = 1, and C₂ = 2. Take k = 0, C₁ = 1, and C₂ = 0. Then, 1.3x² ≤ 3x² + x + 1 ≤ 2.3x² for all x > 0. 3x² + x + 1 ≤ 3x² + 3x² = 23x² for all x > 1. Then, 1.3x² ≤ 3x² + x + 1 ≤ 2.3x² for all x> 1.
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