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Use the graph of y=f(x) in the accompanying figure to estimate the value of f′(3)

Use the graph of y=f(x) in the accompanying figure to estimate the value of f′(3)

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

Use the graph of y=f(x) in the accompanying figure to estimate the value of f′(3).

Estimate of f′(3): 

The image presents a graph with two curves plotted on a coordinate grid. 1. **Axes and Grid**: - The x-axis ranges from -1 to 7. - The y-axis ranges from -1 to 7. - The grid has a light gray color, helping to identify specific points on the graph. 2. **Curves**: - **Blue Curve**: This appears to be a parabola. It starts near the x-axis, rises to a peak, and then descends, showcasing a typical quadratic shape. - **Red Line**: This is a straight line that intersects the parabola. It crosses the blue curve at two points, indicating possible solutions/roots where the functions are equal. 3. **Intersection Points**: - The two curves intersect, which suggests the points where the values of the functions are the same. This graph is an excellent representation for visualizing the relationship between a linear function and a quadratic function, demonstrating how they can intersect at two points.
Transcribed Image Text:The image presents a graph with two curves plotted on a coordinate grid. 1. **Axes and Grid**: - The x-axis ranges from -1 to 7. - The y-axis ranges from -1 to 7. - The grid has a light gray color, helping to identify specific points on the graph. 2. **Curves**: - **Blue Curve**: This appears to be a parabola. It starts near the x-axis, rises to a peak, and then descends, showcasing a typical quadratic shape. - **Red Line**: This is a straight line that intersects the parabola. It crosses the blue curve at two points, indicating possible solutions/roots where the functions are equal. 3. **Intersection Points**: - The two curves intersect, which suggests the points where the values of the functions are the same. This graph is an excellent representation for visualizing the relationship between a linear function and a quadratic function, demonstrating how they can intersect at two points.
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