Each groph below represents the second derivafre of a function, f "cx). not the origiral fex)) 6. Find the x-coordinates of all inflection points.

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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I’m not sure what the maxima and minima are of these two graphs. Given points are visible on graphs.
Each graph below represents the second derivative of a function, \( f''(x) \) (not the original \( f(x) \)).

Find the x-coordinates of all inflection points.

**Graph 5:**
- The graph appears to be two symmetrical, downward-facing parabolas meeting at the origin. 
- The x-axis is marked with several points, indicating key intercepts.

**Graph 6:**
- The graph shows a curve that crosses the x-axis twice. 
- It begins below the x-axis, rises to cross it, dips back below, and then rises again, continuing upward.
- The inflection points are located where the graph crosses the x-axis.

Find the x-values at these intersections to identify the inflection points of the original function \( f(x) \).
Transcribed Image Text:Each graph below represents the second derivative of a function, \( f''(x) \) (not the original \( f(x) \)). Find the x-coordinates of all inflection points. **Graph 5:** - The graph appears to be two symmetrical, downward-facing parabolas meeting at the origin. - The x-axis is marked with several points, indicating key intercepts. **Graph 6:** - The graph shows a curve that crosses the x-axis twice. - It begins below the x-axis, rises to cross it, dips back below, and then rises again, continuing upward. - The inflection points are located where the graph crosses the x-axis. Find the x-values at these intersections to identify the inflection points of the original function \( f(x) \).
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