For what value of x is g(x) = - 2? ..... x=0 4- 4

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:**

For what value of \( x \) is \( g(x) = -2 \)?

\( x = \) [  ]

**Graph Explanation:**

The graph provided shows a function \( g(x) \), plotted on a coordinate plane with \( x \)-axis and \( y \)-axis ranging from -8 to 8. The function is represented by a blue curve that starts from approximately \((-4, 5)\), descends through the points, and ends around \((6, -6)\).

The graph shows several critical points:
- At \( (0, 3) \), the graph passes through the y-axis.
- It intersects the x-axis at approximately \( (3, 0) \).
- The y-coordinate descends further to reach \( g(x) = -2\) around \( x = 5 \).

Thus, to find the value of \( x \) for which \( g(x) = -2 \), locate the point on the x-axis corresponding to a \( y \)-value of \(-2\). In this graph, it occurs at approximately \( x = 5 \).
Transcribed Image Text:**Question:** For what value of \( x \) is \( g(x) = -2 \)? \( x = \) [ ] **Graph Explanation:** The graph provided shows a function \( g(x) \), plotted on a coordinate plane with \( x \)-axis and \( y \)-axis ranging from -8 to 8. The function is represented by a blue curve that starts from approximately \((-4, 5)\), descends through the points, and ends around \((6, -6)\). The graph shows several critical points: - At \( (0, 3) \), the graph passes through the y-axis. - It intersects the x-axis at approximately \( (3, 0) \). - The y-coordinate descends further to reach \( g(x) = -2\) around \( x = 5 \). Thus, to find the value of \( x \) for which \( g(x) = -2 \), locate the point on the x-axis corresponding to a \( y \)-value of \(-2\). In this graph, it occurs at approximately \( x = 5 \).
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