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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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
Shown is a graph of y=f(x)
Evaluate f^-1(1)

Transcribed Image Text:This image depicts a graph with a combination of solid and dashed line segments, with various points plotted on it. The graph is drawn on a standard Cartesian coordinate plane with labeled axes.
**Description of the Graph:**
1. **Axes:**
- The x-axis is the horizontal axis, ranging from -4 to 3.
- The y-axis is the vertical axis, ranging from -3 to 4.
2. **Lines and Points:**
- There is a solid black line starting from the point (-4, -1) and ending at the point (-2, 1). This segment has solid black points at both ends.
- Another solid black line starts from the point (-2, 1) and ends at the point (0, 3). The endpoint (0, 1) is marked with an open circle.
- Additionally, there is a dashed line starting from the open circle at the point (1, 1) and extending to the solid black point at (3, -3).
**Key Characteristics:**
- Closed circles represent points included in the graph with solid-filled dots.
- Open circles represent points not included in the graph (hollow dots).
This image is particularly useful for understanding piecewise functions, where parts of the function have different characteristics or behaviors within different domains. The open and closed circles indicate points where the function is defined or undefined and can be leveraged when discussing continuity and limits in more advanced studies.
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