← - 10 -6 –4 -2 10 8 6- 4 Y 2 -2 $ + x 10 Identify the x-coordinate of the absolute minimum of f(x) based on its graph shown in the figure. Enter only the x- coordinate of the minimum.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question: True or False?**

The function \( f(x) = \frac{1}{\ln(x^2)} \) is guaranteed to have an absolute maximum and minimum on the interval \([-5, -1]\).

**Select the correct answer below:**

- ⭕ True
- ⭕ False
Transcribed Image Text:**Question: True or False?** The function \( f(x) = \frac{1}{\ln(x^2)} \) is guaranteed to have an absolute maximum and minimum on the interval \([-5, -1]\). **Select the correct answer below:** - ⭕ True - ⭕ False
The graph shown is a blue curve on a coordinate grid with x-coordinates ranging from -10 to 10 and y-coordinates from -10 to 10. The curve represents the function \( f(x) \). It is a downward-opening parabola with two distinct dips.

The function has a clear absolute minimum point, which appears as the lowest point on the graph. This minimum occurs at the x-coordinate of approximately -1.5.

**Task:**
Identify the x-coordinate of the absolute minimum of \( f(x) \) based on its graph shown in the figure. Enter only the x-coordinate of the minimum.
Transcribed Image Text:The graph shown is a blue curve on a coordinate grid with x-coordinates ranging from -10 to 10 and y-coordinates from -10 to 10. The curve represents the function \( f(x) \). It is a downward-opening parabola with two distinct dips. The function has a clear absolute minimum point, which appears as the lowest point on the graph. This minimum occurs at the x-coordinate of approximately -1.5. **Task:** Identify the x-coordinate of the absolute minimum of \( f(x) \) based on its graph shown in the figure. Enter only the x-coordinate of the minimum.
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