Determine the x-intercepts of the function g(x) = 2cos(2x) - 1 on the interval [0, 2]. 01 я 5л 6'6 л 5л 0{15} 3 я 5л 7л 3'3 3 "I я 5л 7л 11л (117) 6 6 6 6

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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**Problem Statement:**

Determine the x-intercepts of the function \( g(x) = 2\cos(2x) - 1 \) on the interval \([0, 2\pi]\).

**Answer Choices:**

1. \(\left\{\frac{\pi}{6}, \frac{5\pi}{6}\right\}\)

2. \(\left\{\frac{\pi}{3}, \frac{5\pi}{3}\right\}\)

3. \(\left\{\frac{\pi}{3}, \frac{5\pi}{3}, \frac{7\pi}{3}\right\}\)

4. \(\left\{\frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}\right\}\)
Transcribed Image Text:**Problem Statement:** Determine the x-intercepts of the function \( g(x) = 2\cos(2x) - 1 \) on the interval \([0, 2\pi]\). **Answer Choices:** 1. \(\left\{\frac{\pi}{6}, \frac{5\pi}{6}\right\}\) 2. \(\left\{\frac{\pi}{3}, \frac{5\pi}{3}\right\}\) 3. \(\left\{\frac{\pi}{3}, \frac{5\pi}{3}, \frac{7\pi}{3}\right\}\) 4. \(\left\{\frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}\right\}\)
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