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13. What is the domain of the function y = −2(x + 1)² − 5? {X € R|X21} {X € RIX≤1} a. b. C. {X € R|XS-1} d. {x = R}

13. What is the domain of the function y = −2(x + 1)² − 5? {X € R|X21} {X € RIX≤1} a. b. C. {X € R|XS-1} d. {x = R}

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question 13:** What is the domain of the function \( y = -2(x + 1)^2 - 5 \)? **Options:** a. \(\{ x \in \mathbb{R} \mid x \geq 1 \}\) b. \(\{ x \in \mathbb{R} \mid x \leq 1 \}\) c. \(\{ x \in \mathbb{R} \mid x \leq -1 \}\) d. \(\{ x \in \mathbb{R} \}\) **Explanation:** The function \( y = -2(x + 1)^2 - 5 \) is a quadratic function. Quadratic functions have a parabolic shape and are defined for all real numbers. Therefore, the domain of this function is all real numbers. Correct answer: **d. \(\{ x \in \mathbb{R} \}\)** (All real numbers).
Transcribed Image Text:**Question 13:** What is the domain of the function \( y = -2(x + 1)^2 - 5 \)? **Options:** a. \(\{ x \in \mathbb{R} \mid x \geq 1 \}\) b. \(\{ x \in \mathbb{R} \mid x \leq 1 \}\) c. \(\{ x \in \mathbb{R} \mid x \leq -1 \}\) d. \(\{ x \in \mathbb{R} \}\) **Explanation:** The function \( y = -2(x + 1)^2 - 5 \) is a quadratic function. Quadratic functions have a parabolic shape and are defined for all real numbers. Therefore, the domain of this function is all real numbers. Correct answer: **d. \(\{ x \in \mathbb{R} \}\)** (All real numbers).
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