23) Determine the local max and/or local min value and the x-value where the local max or local min occurs for the given graph. y

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem 23: Determine the Local Maxima and Minima**

The task is to determine the local maximum and/or local minimum values and the x-values where these occur on the given graph.

**Options:**

a. Local Max of 5 at x = 3
   Local Min of -7 at x = -2

b. Local Max of 3 at x = 5
   Local Min of -2 at x = -7

c. Local Max of -7 at x = -2
   Local Min of 5 at x = 3

d. Local Max of -2 at x = -7
   Local Min of 3 at x = 5

**Graph Explanation:**

The graph depicts a curve with distinct peaks and troughs:

- The horizontal axis is labeled x and ranges from -8 to 6.
- The vertical axis is labeled y and ranges from -8 to 8.
- The graph crosses the origin and has critical points that show the local maximum and minimum values.

To solve the problem, observe the peaks (local maxima) and the troughs (local minima) of the curve in relation to the provided x-values and y-values.
Transcribed Image Text:**Problem 23: Determine the Local Maxima and Minima** The task is to determine the local maximum and/or local minimum values and the x-values where these occur on the given graph. **Options:** a. Local Max of 5 at x = 3 Local Min of -7 at x = -2 b. Local Max of 3 at x = 5 Local Min of -2 at x = -7 c. Local Max of -7 at x = -2 Local Min of 5 at x = 3 d. Local Max of -2 at x = -7 Local Min of 3 at x = 5 **Graph Explanation:** The graph depicts a curve with distinct peaks and troughs: - The horizontal axis is labeled x and ranges from -8 to 6. - The vertical axis is labeled y and ranges from -8 to 8. - The graph crosses the origin and has critical points that show the local maximum and minimum values. To solve the problem, observe the peaks (local maxima) and the troughs (local minima) of the curve in relation to the provided x-values and y-values.
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In this question, we need to only analyse at which value graph is at peak and at which value graph is at lowest .

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