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Determine whether the graph is that of a function

Determine whether the graph is that of a function

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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Determine whether the graph is that of a function. 

### Graph of a Trigonometric Function #### Description of the Graph This diagram represents a trigonometric function plotted on a Cartesian coordinate system. - **Axes:** - The horizontal axis is labeled as the \( x \)-axis. - The vertical axis is labeled as the \( y \)-axis. - **Key Points:** - The graph intersects the y-axis at \( y = 1 \). - The function has a maximum point at \( (0, 1) \) and minimum endpoints at \( (-\pi, -1) \) and \( (\pi, -1) \). - **Intervals:** - The graph covers the range from \( x = -\pi \) to \( x = \pi \). - The \( x \)-axis is marked with key points at \( -\pi, -\frac{\pi}{2}, \frac{\pi}{2}, \) and \( \pi \). - **Shape:** - The curve forms a smooth arc, symmetrical with respect to the y-axis, indicating a typical cosine function with a restricted domain. This graph is likely a portion of a cosine function, displaying one complete oscillation from \( -\pi \) to \( \pi \). The endpoints suggest that the function may be defined piecewise or constrained for a specific interval.
Transcribed Image Text:### Graph of a Trigonometric Function #### Description of the Graph This diagram represents a trigonometric function plotted on a Cartesian coordinate system. - **Axes:** - The horizontal axis is labeled as the \( x \)-axis. - The vertical axis is labeled as the \( y \)-axis. - **Key Points:** - The graph intersects the y-axis at \( y = 1 \). - The function has a maximum point at \( (0, 1) \) and minimum endpoints at \( (-\pi, -1) \) and \( (\pi, -1) \). - **Intervals:** - The graph covers the range from \( x = -\pi \) to \( x = \pi \). - The \( x \)-axis is marked with key points at \( -\pi, -\frac{\pi}{2}, \frac{\pi}{2}, \) and \( \pi \). - **Shape:** - The curve forms a smooth arc, symmetrical with respect to the y-axis, indicating a typical cosine function with a restricted domain. This graph is likely a portion of a cosine function, displaying one complete oscillation from \( -\pi \) to \( \pi \). The endpoints suggest that the function may be defined piecewise or constrained for a specific interval.
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