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ere is the function decreasing linterval notetion)

ere is the function decreasing linterval notetion)

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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### Understanding Decreasing Intervals in Functions The image features a coordinate graph with two asymptotic curves, each rising away from the vertical axis. The graph is labeled with the axes "x" and "y." **Graph Details:** - **Axes:** The horizontal axis is labeled "x" and the vertical axis is labeled "y." - **Curves:** Two curves appear to approach the y-axis but do not touch it, suggesting vertical asymptotes. - **Behavior:** The curves rise upwards on both the left and right sides as they approach a central vertical line. **Question:** The text at the bottom asks, "Where is the function decreasing (interval notation)?" **Explanation:** - This suggests examining intervals where the function's output decreases as the input increases. To determine this, look at the graph's slope (whether it's moving downward to the right). - Based on typical functions of this form, determine the segments of the x-axis where the graph descends. ### Answering the Question To provide the correct interval in which the function is decreasing, observe sections of the graph where the slope is negative, moving from left to right. Use interval notation to express this analysis.
Transcribed Image Text:### Understanding Decreasing Intervals in Functions The image features a coordinate graph with two asymptotic curves, each rising away from the vertical axis. The graph is labeled with the axes "x" and "y." **Graph Details:** - **Axes:** The horizontal axis is labeled "x" and the vertical axis is labeled "y." - **Curves:** Two curves appear to approach the y-axis but do not touch it, suggesting vertical asymptotes. - **Behavior:** The curves rise upwards on both the left and right sides as they approach a central vertical line. **Question:** The text at the bottom asks, "Where is the function decreasing (interval notation)?" **Explanation:** - This suggests examining intervals where the function's output decreases as the input increases. To determine this, look at the graph's slope (whether it's moving downward to the right). - Based on typical functions of this form, determine the segments of the x-axis where the graph descends. ### Answering the Question To provide the correct interval in which the function is decreasing, observe sections of the graph where the slope is negative, moving from left to right. Use interval notation to express this analysis.
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