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Over which interval is the function shown in the table decreasing? X -2 -1 0 1 2 O a O b O c Od f(x) = 3x² 12 3 0 3 12 X>0 x < 0 y > 0 y < 0 (x, y) (-2, 12) (-1,3) (0, 0) (1,3) (2, 12)

Over which interval is the function shown in the table decreasing? X -2 -1 0 1 2 O a O b O c Od f(x) = 3x² 12 3 0 3 12 X>0 x < 0 y > 0 y < 0 (x, y) (-2, 12) (-1,3) (0, 0) (1,3) (2, 12)

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:** Over which interval is the function shown in the table decreasing? **Table:** | x | f(x) = 3x² | (x, y) | |----|------------|---------| | -2 | 12 | (-2, 12)| | -1 | 3 | (-1, 3) | | 0 | 0 | (0, 0) | | 1 | 3 | (1, 3) | | 2 | 12 | (2, 12) | **Choices:** - a. \( x > 0 \) - b. \( x < 0 \) - c. \( y > 0 \) - d. \( y < 0 \) **Analysis:** The function \( f(x) = 3x² \) is a quadratic function, which is generally not decreasing in any interval. However, based on the values in the table: - From \( x = -2 \) to \( x = 0 \), the function is decreasing. Thus, the correct answer is: - **b. \( x < 0 \)**
Transcribed Image Text:**Question:** Over which interval is the function shown in the table decreasing? **Table:** | x | f(x) = 3x² | (x, y) | |----|------------|---------| | -2 | 12 | (-2, 12)| | -1 | 3 | (-1, 3) | | 0 | 0 | (0, 0) | | 1 | 3 | (1, 3) | | 2 | 12 | (2, 12) | **Choices:** - a. \( x > 0 \) - b. \( x < 0 \) - c. \( y > 0 \) - d. \( y < 0 \) **Analysis:** The function \( f(x) = 3x² \) is a quadratic function, which is generally not decreasing in any interval. However, based on the values in the table: - From \( x = -2 \) to \( x = 0 \), the function is decreasing. Thus, the correct answer is: - **b. \( x < 0 \)**
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