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

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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